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Finding the Third Proportional to 327,456 and 723,744

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Solution

The third proportional to 327,456 and 723,744 is: 1,599,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456 : 723,744 = 723,744 : x
  2. Step 2: Convert to fraction form
    327,456/723,744 = 723,744/x
  3. Step 3: Cross multiply
    327,456x = 723,744 × 723,744
  4. Step 4: Simplify right side
    327,456x = 523,805,377,536
  5. Step 5: Solve for x
    x = 523,805,377,536/327,456
  6. Step 6: Final answer
    x = 1,599,620.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.