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Finding the Third Proportional to 270,204 and 582,288

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Solution

The third proportional to 270,204 and 582,288 is: 1,254,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204 : 582,288 = 582,288 : x
  2. Step 2: Convert to fraction form
    270,204/582,288 = 582,288/x
  3. Step 3: Cross multiply
    270,204x = 582,288 × 582,288
  4. Step 4: Simplify right side
    270,204x = 339,059,314,944
  5. Step 5: Solve for x
    x = 339,059,314,944/270,204
  6. Step 6: Final answer
    x = 1,254,827.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.