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Finding the Third Proportional to 442,854 and 664,166

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Solution

The third proportional to 442,854 and 664,166 is: 996,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854 : 664,166 = 664,166 : x
  2. Step 2: Convert to fraction form
    442,854/664,166 = 664,166/x
  3. Step 3: Cross multiply
    442,854x = 664,166 × 664,166
  4. Step 4: Simplify right side
    442,854x = 441,116,475,556
  5. Step 5: Solve for x
    x = 441,116,475,556/442,854
  6. Step 6: Final answer
    x = 996,076.53

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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.