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Finding the Third Proportional to 267,436 and 582,836

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Solution

The third proportional to 267,436 and 582,836 is: 1,270,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,436 : 582,836 = 582,836 : x
  2. Step 2: Convert to fraction form
    267,436/582,836 = 582,836/x
  3. Step 3: Cross multiply
    267,436x = 582,836 × 582,836
  4. Step 4: Simplify right side
    267,436x = 339,697,802,896
  5. Step 5: Solve for x
    x = 339,697,802,896/267,436
  6. Step 6: Final answer
    x = 1,270,202.23

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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.