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Finding the Third Proportional to 217,489 and 332,734

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Solution

The third proportional to 217,489 and 332,734 is: 509,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,489 : 332,734 = 332,734 : x
  2. Step 2: Convert to fraction form
    217,489/332,734 = 332,734/x
  3. Step 3: Cross multiply
    217,489x = 332,734 × 332,734
  4. Step 4: Simplify right side
    217,489x = 110,711,914,756
  5. Step 5: Solve for x
    x = 110,711,914,756/217,489
  6. Step 6: Final answer
    x = 509,046.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.