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Finding the Third Proportional to 327,638 and 494,463

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Solution

The third proportional to 327,638 and 494,463 is: 746,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,638 : 494,463 = 494,463 : x
  2. Step 2: Convert to fraction form
    327,638/494,463 = 494,463/x
  3. Step 3: Cross multiply
    327,638x = 494,463 × 494,463
  4. Step 4: Simplify right side
    327,638x = 244,493,658,369
  5. Step 5: Solve for x
    x = 244,493,658,369/327,638
  6. Step 6: Final answer
    x = 746,231.08

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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.