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Finding the Third Proportional to 327,544 and 694,453

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Solution

The third proportional to 327,544 and 694,453 is: 1,472,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,544 : 694,453 = 694,453 : x
  2. Step 2: Convert to fraction form
    327,544/694,453 = 694,453/x
  3. Step 3: Cross multiply
    327,544x = 694,453 × 694,453
  4. Step 4: Simplify right side
    327,544x = 482,264,969,209
  5. Step 5: Solve for x
    x = 482,264,969,209/327,544
  6. Step 6: Final answer
    x = 1,472,366.98

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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.