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Finding the Third Proportional to 418,182 and 664,654

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Solution

The third proportional to 418,182 and 664,654 is: 1,056,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,182 : 664,654 = 664,654 : x
  2. Step 2: Convert to fraction form
    418,182/664,654 = 664,654/x
  3. Step 3: Cross multiply
    418,182x = 664,654 × 664,654
  4. Step 4: Simplify right side
    418,182x = 441,764,939,716
  5. Step 5: Solve for x
    x = 441,764,939,716/418,182
  6. Step 6: Final answer
    x = 1,056,393.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.