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Finding the Third Proportional to 270,137 and 582,171

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Solution

The third proportional to 270,137 and 582,171 is: 1,254,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,137 : 582,171 = 582,171 : x
  2. Step 2: Convert to fraction form
    270,137/582,171 = 582,171/x
  3. Step 3: Cross multiply
    270,137x = 582,171 × 582,171
  4. Step 4: Simplify right side
    270,137x = 338,923,073,241
  5. Step 5: Solve for x
    x = 338,923,073,241/270,137
  6. Step 6: Final answer
    x = 1,254,634.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.