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Finding the Third Proportional to 267,760 and 582,168

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Solution

The third proportional to 267,760 and 582,168 is: 1,265,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,760 : 582,168 = 582,168 : x
  2. Step 2: Convert to fraction form
    267,760/582,168 = 582,168/x
  3. Step 3: Cross multiply
    267,760x = 582,168 × 582,168
  4. Step 4: Simplify right side
    267,760x = 338,919,580,224
  5. Step 5: Solve for x
    x = 338,919,580,224/267,760
  6. Step 6: Final answer
    x = 1,265,758.81

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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.