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Finding the Third Proportional to 324,692 and 694,204

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Solution

The third proportional to 324,692 and 694,204 is: 1,484,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,692 : 694,204 = 694,204 : x
  2. Step 2: Convert to fraction form
    324,692/694,204 = 694,204/x
  3. Step 3: Cross multiply
    324,692x = 694,204 × 694,204
  4. Step 4: Simplify right side
    324,692x = 481,919,193,616
  5. Step 5: Solve for x
    x = 481,919,193,616/324,692
  6. Step 6: Final answer
    x = 1,484,234.89

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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.