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Finding the Third Proportional to 278,300 and 422,762

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Solution

The third proportional to 278,300 and 422,762 is: 642,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,300 : 422,762 = 422,762 : x
  2. Step 2: Convert to fraction form
    278,300/422,762 = 422,762/x
  3. Step 3: Cross multiply
    278,300x = 422,762 × 422,762
  4. Step 4: Simplify right side
    278,300x = 178,727,708,644
  5. Step 5: Solve for x
    x = 178,727,708,644/278,300
  6. Step 6: Final answer
    x = 642,212.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.