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Finding the Third Proportional to 267,399 and 582,777

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Solution

The third proportional to 267,399 and 582,777 is: 1,270,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,399 : 582,777 = 582,777 : x
  2. Step 2: Convert to fraction form
    267,399/582,777 = 582,777/x
  3. Step 3: Cross multiply
    267,399x = 582,777 × 582,777
  4. Step 4: Simplify right side
    267,399x = 339,629,031,729
  5. Step 5: Solve for x
    x = 339,629,031,729/267,399
  6. Step 6: Final answer
    x = 1,270,120.80

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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.