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Finding the Third Proportional to 321,674 and 687,523

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Solution

The third proportional to 321,674 and 687,523 is: 1,469,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,674 : 687,523 = 687,523 : x
  2. Step 2: Convert to fraction form
    321,674/687,523 = 687,523/x
  3. Step 3: Cross multiply
    321,674x = 687,523 × 687,523
  4. Step 4: Simplify right side
    321,674x = 472,687,875,529
  5. Step 5: Solve for x
    x = 472,687,875,529/321,674
  6. Step 6: Final answer
    x = 1,469,462.49

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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.