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Finding the Third Proportional to 276,523 and 439,691

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Solution

The third proportional to 276,523 and 439,691 is: 699,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,523 : 439,691 = 439,691 : x
  2. Step 2: Convert to fraction form
    276,523/439,691 = 439,691/x
  3. Step 3: Cross multiply
    276,523x = 439,691 × 439,691
  4. Step 4: Simplify right side
    276,523x = 193,328,175,481
  5. Step 5: Solve for x
    x = 193,328,175,481/276,523
  6. Step 6: Final answer
    x = 699,139.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.