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Finding the Third Proportional to 327,642 and 494,472

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Solution

The third proportional to 327,642 and 494,472 is: 746,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,642 : 494,472 = 494,472 : x
  2. Step 2: Convert to fraction form
    327,642/494,472 = 494,472/x
  3. Step 3: Cross multiply
    327,642x = 494,472 × 494,472
  4. Step 4: Simplify right side
    327,642x = 244,502,558,784
  5. Step 5: Solve for x
    x = 244,502,558,784/327,642
  6. Step 6: Final answer
    x = 746,249.13

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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.