Any person, firm, or corporation, having acquired such right-of-way or easement since June 15, 1911, or hereafter acquiring such right-of-way or easement over any public lands for the purpose of transporting or moving timber, mineral, stone, sand, gravel, or other valuable materials, and engaged in such business thereon, shall accord to the state, or any grantee or lessee thereof, having since June 15, 1911, acquired, or hereafter acquiring, from the state, any public lands containing timber, mineral, stone, sand, gravel, or other valuable materials, contiguous to or in proximity to such right-of-way or easement, or any person, firm, or corporation, having since June 15, 1911, acquired, or hereafter acquiring, the timber, mineral, stone, sand, gravel, or other valuable materials upon any public lands contiguous to or in proximity to the lands over which such right-of-way or easement is operated, proper and reasonable facilities and service for transporting and moving such valuable materials, under reasonable rules and regulations and upon payment of just and reasonable charges therefor, or, if such right-of-way or other easement is not then in use, shall accord the use of such right-of-way or easement for transporting and moving such valuable materials, under reasonable rules and regulations and upon the payment of just and reasonable charges therefor.