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Finding the Third Proportional to 267,768 and 582,184

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Solution

The third proportional to 267,768 and 582,184 is: 1,265,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,768 : 582,184 = 582,184 : x
  2. Step 2: Convert to fraction form
    267,768/582,184 = 582,184/x
  3. Step 3: Cross multiply
    267,768x = 582,184 × 582,184
  4. Step 4: Simplify right side
    267,768x = 338,938,209,856
  5. Step 5: Solve for x
    x = 338,938,209,856/267,768
  6. Step 6: Final answer
    x = 1,265,790.57

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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.