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Finding the Third Proportional to 327,448 and 723,720

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Solution

The third proportional to 327,448 and 723,720 is: 1,599,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,448 : 723,720 = 723,720 : x
  2. Step 2: Convert to fraction form
    327,448/723,720 = 723,720/x
  3. Step 3: Cross multiply
    327,448x = 723,720 × 723,720
  4. Step 4: Simplify right side
    327,448x = 523,770,638,400
  5. Step 5: Solve for x
    x = 523,770,638,400/327,448
  6. Step 6: Final answer
    x = 1,599,553.63

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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.