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Finding the Third Proportional to 442,976 and 664,327

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Solution

The third proportional to 442,976 and 664,327 is: 996,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,976 : 664,327 = 664,327 : x
  2. Step 2: Convert to fraction form
    442,976/664,327 = 664,327/x
  3. Step 3: Cross multiply
    442,976x = 664,327 × 664,327
  4. Step 4: Simplify right side
    442,976x = 441,330,362,929
  5. Step 5: Solve for x
    x = 441,330,362,929/442,976
  6. Step 6: Final answer
    x = 996,285.04

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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.