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Finding the Third Proportional to 267,400 and 582,778

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Solution

The third proportional to 267,400 and 582,778 is: 1,270,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,400 : 582,778 = 582,778 : x
  2. Step 2: Convert to fraction form
    267,400/582,778 = 582,778/x
  3. Step 3: Cross multiply
    267,400x = 582,778 × 582,778
  4. Step 4: Simplify right side
    267,400x = 339,630,197,284
  5. Step 5: Solve for x
    x = 339,630,197,284/267,400
  6. Step 6: Final answer
    x = 1,270,120.41

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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.