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Finding the Third Proportional to 272,311.88 and 582,015.38

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Solution

The third proportional to 272,311.88 and 582,015.38 is: 1,243,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,311.88 : 582,015.38 = 582,015.38 : x
  2. Step 2: Convert to fraction form
    272,311.88/582,015.38 = 582,015.38/x
  3. Step 3: Cross multiply
    272,311.88x = 582,015.38 × 582,015.38
  4. Step 4: Simplify right side
    272,311.88x = 338,741,896,736.39
  5. Step 5: Solve for x
    x = 338,741,896,736.39/272,311.88
  6. Step 6: Final answer
    x = 1,243,948.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.