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Finding the Third Proportional to 442,514 and 664,204

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Solution

The third proportional to 442,514 and 664,204 is: 996,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,514 : 664,204 = 664,204 : x
  2. Step 2: Convert to fraction form
    442,514/664,204 = 664,204/x
  3. Step 3: Cross multiply
    442,514x = 664,204 × 664,204
  4. Step 4: Simplify right side
    442,514x = 441,166,953,616
  5. Step 5: Solve for x
    x = 441,166,953,616/442,514
  6. Step 6: Final answer
    x = 996,955.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.