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Finding the Third Proportional to 327,573 and 694,505

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Solution

The third proportional to 327,573 and 694,505 is: 1,472,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,573 : 694,505 = 694,505 : x
  2. Step 2: Convert to fraction form
    327,573/694,505 = 694,505/x
  3. Step 3: Cross multiply
    327,573x = 694,505 × 694,505
  4. Step 4: Simplify right side
    327,573x = 482,337,195,025
  5. Step 5: Solve for x
    x = 482,337,195,025/327,573
  6. Step 6: Final answer
    x = 1,472,457.12

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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.