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Finding the Third Proportional to 321,676 and 687,524

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Solution

The third proportional to 321,676 and 687,524 is: 1,469,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,676 : 687,524 = 687,524 : x
  2. Step 2: Convert to fraction form
    321,676/687,524 = 687,524/x
  3. Step 3: Cross multiply
    321,676x = 687,524 × 687,524
  4. Step 4: Simplify right side
    321,676x = 472,689,250,576
  5. Step 5: Solve for x
    x = 472,689,250,576/321,676
  6. Step 6: Final answer
    x = 1,469,457.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.