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Finding the Third Proportional to 324,484 and 753,866

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Solution

The third proportional to 324,484 and 753,866 is: 1,751,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,484 : 753,866 = 753,866 : x
  2. Step 2: Convert to fraction form
    324,484/753,866 = 753,866/x
  3. Step 3: Cross multiply
    324,484x = 753,866 × 753,866
  4. Step 4: Simplify right side
    324,484x = 568,313,945,956
  5. Step 5: Solve for x
    x = 568,313,945,956/324,484
  6. Step 6: Final answer
    x = 1,751,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.