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Finding the Third Proportional to 415,084.50 and 626,439

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Solution

The third proportional to 415,084.50 and 626,439 is: 945,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,084.50 : 626,439 = 626,439 : x
  2. Step 2: Convert to fraction form
    415,084.50/626,439 = 626,439/x
  3. Step 3: Cross multiply
    415,084.50x = 626,439 × 626,439
  4. Step 4: Simplify right side
    415,084.50x = 392,425,820,721
  5. Step 5: Solve for x
    x = 392,425,820,721/415,084.50
  6. Step 6: Final answer
    x = 945,411.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.