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Finding the Third Proportional to 337,528 and 474,711

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Solution

The third proportional to 337,528 and 474,711 is: 667,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,528 : 474,711 = 474,711 : x
  2. Step 2: Convert to fraction form
    337,528/474,711 = 474,711/x
  3. Step 3: Cross multiply
    337,528x = 474,711 × 474,711
  4. Step 4: Simplify right side
    337,528x = 225,350,533,521
  5. Step 5: Solve for x
    x = 225,350,533,521/337,528
  6. Step 6: Final answer
    x = 667,649.89

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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.