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Finding the Third Proportional to 267,952 and 582,512

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Solution

The third proportional to 267,952 and 582,512 is: 1,266,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,952 : 582,512 = 582,512 : x
  2. Step 2: Convert to fraction form
    267,952/582,512 = 582,512/x
  3. Step 3: Cross multiply
    267,952x = 582,512 × 582,512
  4. Step 4: Simplify right side
    267,952x = 339,320,230,144
  5. Step 5: Solve for x
    x = 339,320,230,144/267,952
  6. Step 6: Final answer
    x = 1,266,347.07

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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.