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Finding the Third Proportional to 337,761.56 and 741,952.41

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Solution

The third proportional to 337,761.56 and 741,952.41 is: 1,629,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,761.56 : 741,952.41 = 741,952.41 : x
  2. Step 2: Convert to fraction form
    337,761.56/741,952.41 = 741,952.41/x
  3. Step 3: Cross multiply
    337,761.56x = 741,952.41 × 741,952.41
  4. Step 4: Simplify right side
    337,761.56x = 550,493,373,140.17
  5. Step 5: Solve for x
    x = 550,493,373,140.17/337,761.56
  6. Step 6: Final answer
    x = 1,629,828.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.