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Finding the Third Proportional to 337,102.17 and 724,231.13

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Solution

The third proportional to 337,102.17 and 724,231.13 is: 1,555,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,102.17 : 724,231.13 = 724,231.13 : x
  2. Step 2: Convert to fraction form
    337,102.17/724,231.13 = 724,231.13/x
  3. Step 3: Cross multiply
    337,102.17x = 724,231.13 × 724,231.13
  4. Step 4: Simplify right side
    337,102.17x = 524,510,722,418.77
  5. Step 5: Solve for x
    x = 524,510,722,418.77/337,102.17
  6. Step 6: Final answer
    x = 1,555,939.91

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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.