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Finding the Third Proportional to 323,570 and 496,624

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Solution

The third proportional to 323,570 and 496,624 is: 762,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,570 : 496,624 = 496,624 : x
  2. Step 2: Convert to fraction form
    323,570/496,624 = 496,624/x
  3. Step 3: Cross multiply
    323,570x = 496,624 × 496,624
  4. Step 4: Simplify right side
    323,570x = 246,635,397,376
  5. Step 5: Solve for x
    x = 246,635,397,376/323,570
  6. Step 6: Final answer
    x = 762,231.97

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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.