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Finding the Third Proportional to 278,837 and 598,150

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Solution

The third proportional to 278,837 and 598,150 is: 1,283,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,837 : 598,150 = 598,150 : x
  2. Step 2: Convert to fraction form
    278,837/598,150 = 598,150/x
  3. Step 3: Cross multiply
    278,837x = 598,150 × 598,150
  4. Step 4: Simplify right side
    278,837x = 357,783,422,500
  5. Step 5: Solve for x
    x = 357,783,422,500/278,837
  6. Step 6: Final answer
    x = 1,283,127.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.