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Finding the Third Proportional to 270,153 and 587,874

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Solution

The third proportional to 270,153 and 587,874 is: 1,279,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,153 : 587,874 = 587,874 : x
  2. Step 2: Convert to fraction form
    270,153/587,874 = 587,874/x
  3. Step 3: Cross multiply
    270,153x = 587,874 × 587,874
  4. Step 4: Simplify right side
    270,153x = 345,595,839,876
  5. Step 5: Solve for x
    x = 345,595,839,876/270,153
  6. Step 6: Final answer
    x = 1,279,259.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.