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Finding the Third Proportional to 270,150 and 587,868

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Solution

The third proportional to 270,150 and 587,868 is: 1,279,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,150 : 587,868 = 587,868 : x
  2. Step 2: Convert to fraction form
    270,150/587,868 = 587,868/x
  3. Step 3: Cross multiply
    270,150x = 587,868 × 587,868
  4. Step 4: Simplify right side
    270,150x = 345,588,785,424
  5. Step 5: Solve for x
    x = 345,588,785,424/270,150
  6. Step 6: Final answer
    x = 1,279,247.77

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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.