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Finding the Third Proportional to 278,494 and 588,736

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Solution

The third proportional to 278,494 and 588,736 is: 1,244,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,494 : 588,736 = 588,736 : x
  2. Step 2: Convert to fraction form
    278,494/588,736 = 588,736/x
  3. Step 3: Cross multiply
    278,494x = 588,736 × 588,736
  4. Step 4: Simplify right side
    278,494x = 346,610,077,696
  5. Step 5: Solve for x
    x = 346,610,077,696/278,494
  6. Step 6: Final answer
    x = 1,244,587.24

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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.