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Finding the Third Proportional to 402,934 and 547,550

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Solution

The third proportional to 402,934 and 547,550 is: 744,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,934 : 547,550 = 547,550 : x
  2. Step 2: Convert to fraction form
    402,934/547,550 = 547,550/x
  3. Step 3: Cross multiply
    402,934x = 547,550 × 547,550
  4. Step 4: Simplify right side
    402,934x = 299,811,002,500
  5. Step 5: Solve for x
    x = 299,811,002,500/402,934
  6. Step 6: Final answer
    x = 744,069.75

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Why These Related Problems?

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