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Finding the Third Proportional to 278,498 and 588,744

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Solution

The third proportional to 278,498 and 588,744 is: 1,244,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,498 : 588,744 = 588,744 : x
  2. Step 2: Convert to fraction form
    278,498/588,744 = 588,744/x
  3. Step 3: Cross multiply
    278,498x = 588,744 × 588,744
  4. Step 4: Simplify right side
    278,498x = 346,619,497,536
  5. Step 5: Solve for x
    x = 346,619,497,536/278,498
  6. Step 6: Final answer
    x = 1,244,603.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.