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The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization. In the paper, the application of the full state hybrid projective synchronization (FSHPS) to a special three-dimensional chaotic flow is investigated and validated further. Based on the Lyapunov's direct method, the general FSHPS scheme is given and illustrated with a simple volume-conserving system with Lyapunov dimension DKY = 3. Numerical simulations are used to verify the effectiveness of the proposed scheme.