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Finding the Third Proportional to 278,138 and 598,192

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Solution

The third proportional to 278,138 and 598,192 is: 1,286,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138 : 598,192 = 598,192 : x
  2. Step 2: Convert to fraction form
    278,138/598,192 = 598,192/x
  3. Step 3: Cross multiply
    278,138x = 598,192 × 598,192
  4. Step 4: Simplify right side
    278,138x = 357,833,668,864
  5. Step 5: Solve for x
    x = 357,833,668,864/278,138
  6. Step 6: Final answer
    x = 1,286,532.83

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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.