Dilution

A chemist must dilute $78\mathrm{.}3mL$ of $381.mM$ aqueous barium chloride $(BaC{l}_2)$ solution until the concentration falls to $10\mathrm{.}0mM.$ He'll do this by adding distilled water to the solution until it reaches a certain final volume.

Calculate this final volume, in liters. Round your answer to $3$ significant digits.