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Finding the Third Proportional to 267,441 and 582,846

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Solution

The third proportional to 267,441 and 582,846 is: 1,270,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,441 : 582,846 = 582,846 : x
  2. Step 2: Convert to fraction form
    267,441/582,846 = 582,846/x
  3. Step 3: Cross multiply
    267,441x = 582,846 × 582,846
  4. Step 4: Simplify right side
    267,441x = 339,709,459,716
  5. Step 5: Solve for x
    x = 339,709,459,716/267,441
  6. Step 6: Final answer
    x = 1,270,222.07

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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.