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Finding the Third Proportional to 327,448 and 715,769

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Solution

The third proportional to 327,448 and 715,769 is: 1,564,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,448 : 715,769 = 715,769 : x
  2. Step 2: Convert to fraction form
    327,448/715,769 = 715,769/x
  3. Step 3: Cross multiply
    327,448x = 715,769 × 715,769
  4. Step 4: Simplify right side
    327,448x = 512,325,261,361
  5. Step 5: Solve for x
    x = 512,325,261,361/327,448
  6. Step 6: Final answer
    x = 1,564,600.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.