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Finding the Third Proportional to 327,632 and 493,757

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Solution

The third proportional to 327,632 and 493,757 is: 744,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,632 : 493,757 = 493,757 : x
  2. Step 2: Convert to fraction form
    327,632/493,757 = 493,757/x
  3. Step 3: Cross multiply
    327,632x = 493,757 × 493,757
  4. Step 4: Simplify right side
    327,632x = 243,795,975,049
  5. Step 5: Solve for x
    x = 243,795,975,049/327,632
  6. Step 6: Final answer
    x = 744,115.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.