Alas you are as flawed there as with your other point.
As a base point, the State of Texas covers 268,596 square miles
Also, the electoral divisions of Australia are subject to redistribution after every election and so their precise borders, or even their existence is subject to change. Most Australian Federal electorates have a voting population of around 100,000.
First; in Western Australia the Division of Kalgoorlie (886,241.1 sq mi)
An area the size of France, Spain, Germany, Poland and the UK combined. The bulk of the population reside in & around the mining centre of Kalgoorlie in the south east.
Second; in South Australia the Division of Grey (349,376.5 sq mi)
A fair bit of Grey has the population density of Death Valley and the urban populace reside in & around the industrial triangle of Whyalla, Port Augusta and Port Pirie.
Third; in Queensland the Division of Kennedy (219,065.5 sq mi)
Though tourism on the Great Barrier Reef is a significant industry, the largest city being the mining centre of Mount Isa in the far west.
Fourth; in New South Wales the Division of Parkes (151,897.6 sq mi) Broken Hill
The largest city being the mining centre of Broken Hill in the west.
These are several more current examples, these just being the more extreme based on area. But all the non-metropolitan state and federal divisions of the country have the same urban/rural/remote character.
When I grew up, my family’s properties were in the Division of Riverina-Darling which at that point included Broken Hill. It was a long, boring 9 hour drive to the local seat of government, if you only stopped for fuel. And the largely conservative farmers and graziers of the bulk of the electorate were politically administered from the trade union dominated mining city of Broken Hill.