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Finding the Third Proportional to 267,721 and 582,097

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Solution

The third proportional to 267,721 and 582,097 is: 1,265,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,721 : 582,097 = 582,097 : x
  2. Step 2: Convert to fraction form
    267,721/582,097 = 582,097/x
  3. Step 3: Cross multiply
    267,721x = 582,097 × 582,097
  4. Step 4: Simplify right side
    267,721x = 338,836,917,409
  5. Step 5: Solve for x
    x = 338,836,917,409/267,721
  6. Step 6: Final answer
    x = 1,265,634.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.