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Finding the Third Proportional to 267,406 and 582,790

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Solution

The third proportional to 267,406 and 582,790 is: 1,270,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,406 : 582,790 = 582,790 : x
  2. Step 2: Convert to fraction form
    267,406/582,790 = 582,790/x
  3. Step 3: Cross multiply
    267,406x = 582,790 × 582,790
  4. Step 4: Simplify right side
    267,406x = 339,644,184,100
  5. Step 5: Solve for x
    x = 339,644,184,100/267,406
  6. Step 6: Final answer
    x = 1,270,144.22

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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.