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Finding the Third Proportional to 327,884 and 676,212

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Solution

The third proportional to 327,884 and 676,212 is: 1,394,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,884 : 676,212 = 676,212 : x
  2. Step 2: Convert to fraction form
    327,884/676,212 = 676,212/x
  3. Step 3: Cross multiply
    327,884x = 676,212 × 676,212
  4. Step 4: Simplify right side
    327,884x = 457,262,668,944
  5. Step 5: Solve for x
    x = 457,262,668,944/327,884
  6. Step 6: Final answer
    x = 1,394,586.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.