Medians and Sides changed their roles

Geometry Level 5

Let T1T_1 be a scalene triangle whose area is 2323.
Let T2T_2 be another triangle whose side lengths are equal to the medians of triangle T1T_1.
Similarly, let T3T_3 be yet another triangle with side lengths equal to the medians of triangle T2T_2.

Find the area of triangle T3T_3.

Give your answer to 3 decimal places.

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