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Finding the Third Proportional to 266,386 and 374,691

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Solution

The third proportional to 266,386 and 374,691 is: 527,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,386 : 374,691 = 374,691 : x
  2. Step 2: Convert to fraction form
    266,386/374,691 = 374,691/x
  3. Step 3: Cross multiply
    266,386x = 374,691 × 374,691
  4. Step 4: Simplify right side
    266,386x = 140,393,345,481
  5. Step 5: Solve for x
    x = 140,393,345,481/266,386
  6. Step 6: Final answer
    x = 527,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.