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Finding the Third Proportional to 442,424 and 676,529

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Solution

The third proportional to 442,424 and 676,529 is: 1,034,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,424 : 676,529 = 676,529 : x
  2. Step 2: Convert to fraction form
    442,424/676,529 = 676,529/x
  3. Step 3: Cross multiply
    442,424x = 676,529 × 676,529
  4. Step 4: Simplify right side
    442,424x = 457,691,487,841
  5. Step 5: Solve for x
    x = 457,691,487,841/442,424
  6. Step 6: Final answer
    x = 1,034,508.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.