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Finding the Third Proportional to 272,338 and 582,199

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Solution

The third proportional to 272,338 and 582,199 is: 1,244,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,338 : 582,199 = 582,199 : x
  2. Step 2: Convert to fraction form
    272,338/582,199 = 582,199/x
  3. Step 3: Cross multiply
    272,338x = 582,199 × 582,199
  4. Step 4: Simplify right side
    272,338x = 338,955,675,601
  5. Step 5: Solve for x
    x = 338,955,675,601/272,338
  6. Step 6: Final answer
    x = 1,244,613.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.