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Finding the Third Proportional to 337,529 and 474,712

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Solution

The third proportional to 337,529 and 474,712 is: 667,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,529 : 474,712 = 474,712 : x
  2. Step 2: Convert to fraction form
    337,529/474,712 = 474,712/x
  3. Step 3: Cross multiply
    337,529x = 474,712 × 474,712
  4. Step 4: Simplify right side
    337,529x = 225,351,482,944
  5. Step 5: Solve for x
    x = 225,351,482,944/337,529
  6. Step 6: Final answer
    x = 667,650.73

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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.