Where any water or property mentioned in Section 11584 has, prior to July 1, 1933, been filed on, appropriated, or dedicated to a public use by any state agency and the use proposed to be made thereof by the department is consistent with the continuance of the use thereof by the state agency for its purposes, the right to use such property for the purposes proposed by the department is common and consistent with the use being made thereof by the state agency and may be acquired by eminent domain.