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Finding the Third Proportional to 327,525 and 694,419

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Solution

The third proportional to 327,525 and 694,419 is: 1,472,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,525 : 694,419 = 694,419 : x
  2. Step 2: Convert to fraction form
    327,525/694,419 = 694,419/x
  3. Step 3: Cross multiply
    327,525x = 694,419 × 694,419
  4. Step 4: Simplify right side
    327,525x = 482,217,747,561
  5. Step 5: Solve for x
    x = 482,217,747,561/327,525
  6. Step 6: Final answer
    x = 1,472,308.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.