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Finding the Third Proportional to 327,427 and 702,694

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Solution

The third proportional to 327,427 and 702,694 is: 1,508,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,427 : 702,694 = 702,694 : x
  2. Step 2: Convert to fraction form
    327,427/702,694 = 702,694/x
  3. Step 3: Cross multiply
    327,427x = 702,694 × 702,694
  4. Step 4: Simplify right side
    327,427x = 493,778,857,636
  5. Step 5: Solve for x
    x = 493,778,857,636/327,427
  6. Step 6: Final answer
    x = 1,508,057.85

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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.