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Finding the Third Proportional to 327,417 and 702,675

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Solution

The third proportional to 327,417 and 702,675 is: 1,508,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,417 : 702,675 = 702,675 : x
  2. Step 2: Convert to fraction form
    327,417/702,675 = 702,675/x
  3. Step 3: Cross multiply
    327,417x = 702,675 × 702,675
  4. Step 4: Simplify right side
    327,417x = 493,752,155,625
  5. Step 5: Solve for x
    x = 493,752,155,625/327,417
  6. Step 6: Final answer
    x = 1,508,022.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.