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Finding the Third Proportional to 327,550 and 694,468

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Solution

The third proportional to 327,550 and 694,468 is: 1,472,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,550 : 694,468 = 694,468 : x
  2. Step 2: Convert to fraction form
    327,550/694,468 = 694,468/x
  3. Step 3: Cross multiply
    327,550x = 694,468 × 694,468
  4. Step 4: Simplify right side
    327,550x = 482,285,803,024
  5. Step 5: Solve for x
    x = 482,285,803,024/327,550
  6. Step 6: Final answer
    x = 1,472,403.61

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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.