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Finding the Third Proportional to 337,461 and 474,682

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Solution

The third proportional to 337,461 and 474,682 is: 667,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,461 : 474,682 = 474,682 : x
  2. Step 2: Convert to fraction form
    337,461/474,682 = 474,682/x
  3. Step 3: Cross multiply
    337,461x = 474,682 × 474,682
  4. Step 4: Simplify right side
    337,461x = 225,323,001,124
  5. Step 5: Solve for x
    x = 225,323,001,124/337,461
  6. Step 6: Final answer
    x = 667,700.86

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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.