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Finding the Third Proportional to 402,934.50 and 547,551

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Solution

The third proportional to 402,934.50 and 547,551 is: 744,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,934.50 : 547,551 = 547,551 : x
  2. Step 2: Convert to fraction form
    402,934.50/547,551 = 547,551/x
  3. Step 3: Cross multiply
    402,934.50x = 547,551 × 547,551
  4. Step 4: Simplify right side
    402,934.50x = 299,812,097,601
  5. Step 5: Solve for x
    x = 299,812,097,601/402,934.50
  6. Step 6: Final answer
    x = 744,071.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.