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Finding the Third Proportional to 270,204 and 587,974.50

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Solution

The third proportional to 270,204 and 587,974.50 is: 1,279,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204 : 587,974.50 = 587,974.50 : x
  2. Step 2: Convert to fraction form
    270,204/587,974.50 = 587,974.50/x
  3. Step 3: Cross multiply
    270,204x = 587,974.50 × 587,974.50
  4. Step 4: Simplify right side
    270,204x = 345,714,012,650.25
  5. Step 5: Solve for x
    x = 345,714,012,650.25/270,204
  6. Step 6: Final answer
    x = 1,279,455.57

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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.