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Finding the Third Proportional to 278,016 and 595,398

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Solution

The third proportional to 278,016 and 595,398 is: 1,275,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,016 : 595,398 = 595,398 : x
  2. Step 2: Convert to fraction form
    278,016/595,398 = 595,398/x
  3. Step 3: Cross multiply
    278,016x = 595,398 × 595,398
  4. Step 4: Simplify right side
    278,016x = 354,498,778,404
  5. Step 5: Solve for x
    x = 354,498,778,404/278,016
  6. Step 6: Final answer
    x = 1,275,102.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.