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Finding the Third Proportional to 337,327.50 and 482,382.38

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Solution

The third proportional to 337,327.50 and 482,382.38 is: 689,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,327.50 : 482,382.38 = 482,382.38 : x
  2. Step 2: Convert to fraction form
    337,327.50/482,382.38 = 482,382.38/x
  3. Step 3: Cross multiply
    337,327.50x = 482,382.38 × 482,382.38
  4. Step 4: Simplify right side
    337,327.50x = 232,692,755,710.64
  5. Step 5: Solve for x
    x = 232,692,755,710.64/337,327.50
  6. Step 6: Final answer
    x = 689,812.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.