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Finding the Third Proportional to 400,249.13 and 878,369.06

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Solution

The third proportional to 400,249.13 and 878,369.06 is: 1,927,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,249.13 : 878,369.06 = 878,369.06 : x
  2. Step 2: Convert to fraction form
    400,249.13/878,369.06 = 878,369.06/x
  3. Step 3: Cross multiply
    400,249.13x = 878,369.06 × 878,369.06
  4. Step 4: Simplify right side
    400,249.13x = 771,532,209,957.13
  5. Step 5: Solve for x
    x = 771,532,209,957.13/400,249.13
  6. Step 6: Final answer
    x = 1,927,629.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.