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Finding the Third Proportional to 268,992.13 and 582,516.25

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Solution

The third proportional to 268,992.13 and 582,516.25 is: 1,261,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,992.13 : 582,516.25 = 582,516.25 : x
  2. Step 2: Convert to fraction form
    268,992.13/582,516.25 = 582,516.25/x
  3. Step 3: Cross multiply
    268,992.13x = 582,516.25 × 582,516.25
  4. Step 4: Simplify right side
    268,992.13x = 339,325,181,514.06
  5. Step 5: Solve for x
    x = 339,325,181,514.06/268,992.13
  6. Step 6: Final answer
    x = 1,261,468.83

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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.