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Finding the Third Proportional to 281,769 and 664,470

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Solution

The third proportional to 281,769 and 664,470 is: 1,566,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,769 : 664,470 = 664,470 : x
  2. Step 2: Convert to fraction form
    281,769/664,470 = 664,470/x
  3. Step 3: Cross multiply
    281,769x = 664,470 × 664,470
  4. Step 4: Simplify right side
    281,769x = 441,520,380,900
  5. Step 5: Solve for x
    x = 441,520,380,900/281,769
  6. Step 6: Final answer
    x = 1,566,958.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.