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Finding the Third Proportional to 278,001 and 598,869

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Solution

The third proportional to 278,001 and 598,869 is: 1,290,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,001 : 598,869 = 598,869 : x
  2. Step 2: Convert to fraction form
    278,001/598,869 = 598,869/x
  3. Step 3: Cross multiply
    278,001x = 598,869 × 598,869
  4. Step 4: Simplify right side
    278,001x = 358,644,079,161
  5. Step 5: Solve for x
    x = 358,644,079,161/278,001
  6. Step 6: Final answer
    x = 1,290,081.98

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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.