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Finding the Third Proportional to 332,704 and 498,624

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Solution

The third proportional to 332,704 and 498,624 is: 747,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,704 : 498,624 = 498,624 : x
  2. Step 2: Convert to fraction form
    332,704/498,624 = 498,624/x
  3. Step 3: Cross multiply
    332,704x = 498,624 × 498,624
  4. Step 4: Simplify right side
    332,704x = 248,625,893,376
  5. Step 5: Solve for x
    x = 248,625,893,376/332,704
  6. Step 6: Final answer
    x = 747,288.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.