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Finding the Third Proportional to 267,916 and 582,440

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Solution

The third proportional to 267,916 and 582,440 is: 1,266,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916 : 582,440 = 582,440 : x
  2. Step 2: Convert to fraction form
    267,916/582,440 = 582,440/x
  3. Step 3: Cross multiply
    267,916x = 582,440 × 582,440
  4. Step 4: Simplify right side
    267,916x = 339,236,353,600
  5. Step 5: Solve for x
    x = 339,236,353,600/267,916
  6. Step 6: Final answer
    x = 1,266,204.16

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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.