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Finding the Third Proportional to 442,732 and 664,422

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Solution

The third proportional to 442,732 and 664,422 is: 997,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,732 : 664,422 = 664,422 : x
  2. Step 2: Convert to fraction form
    442,732/664,422 = 664,422/x
  3. Step 3: Cross multiply
    442,732x = 664,422 × 664,422
  4. Step 4: Simplify right side
    442,732x = 441,456,594,084
  5. Step 5: Solve for x
    x = 441,456,594,084/442,732
  6. Step 6: Final answer
    x = 997,119.24

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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.