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Finding the Third Proportional to 337,107.38 and 724,242.38

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Solution

The third proportional to 337,107.38 and 724,242.38 is: 1,555,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,107.38 : 724,242.38 = 724,242.38 : x
  2. Step 2: Convert to fraction form
    337,107.38/724,242.38 = 724,242.38/x
  3. Step 3: Cross multiply
    337,107.38x = 724,242.38 × 724,242.38
  4. Step 4: Simplify right side
    337,107.38x = 524,527,017,745.64
  5. Step 5: Solve for x
    x = 524,527,017,745.64/337,107.38
  6. Step 6: Final answer
    x = 1,555,964.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.