The department of transportation is hereby authorized to enter into an exchange agreement with the owner of real property required for highway purposes to convey to such owner real property, owned by the state and under the department's jurisdiction, as full or part consideration for property to be acquired for highway purposes. Such an exchange agreement may relate back and apply to any exchange of property previously agreed to and partially executed (pursuant to an earlier exchange agreement found to be void for want of a governor's deed as required by prior law), and shall be subject to such agreed terms and conditions as are authorized by *RCW
47.12.063(3) as now existing or hereafter amended. Any conveyance from the state of Washington made pursuant to this section shall be by deed executed by the secretary of transportation, which shall be duly acknowledged.