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Finding the Third Proportional to 278,738 and 420,718

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Solution

The third proportional to 278,738 and 420,718 is: 635,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,738 : 420,718 = 420,718 : x
  2. Step 2: Convert to fraction form
    278,738/420,718 = 420,718/x
  3. Step 3: Cross multiply
    278,738x = 420,718 × 420,718
  4. Step 4: Simplify right side
    278,738x = 177,003,635,524
  5. Step 5: Solve for x
    x = 177,003,635,524/278,738
  6. Step 6: Final answer
    x = 635,017.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.