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Finding the Third Proportional to 267,464 and 582,880

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Solution

The third proportional to 267,464 and 582,880 is: 1,270,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,464 : 582,880 = 582,880 : x
  2. Step 2: Convert to fraction form
    267,464/582,880 = 582,880/x
  3. Step 3: Cross multiply
    267,464x = 582,880 × 582,880
  4. Step 4: Simplify right side
    267,464x = 339,749,094,400
  5. Step 5: Solve for x
    x = 339,749,094,400/267,464
  6. Step 6: Final answer
    x = 1,270,261.02

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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.