Any person having acquired a right-of-way or easement as provided in RCW
79.110.010 and
79.110.020 over any state-owned tidelands or shorelands or over or across beds of any navigable water or stream for the purpose of transporting or moving valuable materials and being engaged in such business, or any grantee or lessee thereof acquiring after June 15, 1911, state lands or tidelands or shorelands containing valuable materials, where the land is contiguous to or in proximity of the right-of-way or easement, shall accord to the state or any person acquiring after June 15, 1911, valuable materials upon any such lands, proper and reasonable facilities and service for transporting and moving valuable materials under reasonable rules and upon payment of just and reasonable charges in accordance with the provisions of RCW
79.36.390.