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Finding the Third Proportional to 442,982 and 664,334

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Solution

The third proportional to 442,982 and 664,334 is: 996,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,982 : 664,334 = 664,334 : x
  2. Step 2: Convert to fraction form
    442,982/664,334 = 664,334/x
  3. Step 3: Cross multiply
    442,982x = 664,334 × 664,334
  4. Step 4: Simplify right side
    442,982x = 441,339,663,556
  5. Step 5: Solve for x
    x = 441,339,663,556/442,982
  6. Step 6: Final answer
    x = 996,292.54

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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.