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Finding the Third Proportional to 266,958.28 and 580,086.56

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Solution

The third proportional to 266,958.28 and 580,086.56 is: 1,260,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,958.28 : 580,086.56 = 580,086.56 : x
  2. Step 2: Convert to fraction form
    266,958.28/580,086.56 = 580,086.56/x
  3. Step 3: Cross multiply
    266,958.28x = 580,086.56 × 580,086.56
  4. Step 4: Simplify right side
    266,958.28x = 336,500,419,993.07
  5. Step 5: Solve for x
    x = 336,500,419,993.07/266,958.28
  6. Step 6: Final answer
    x = 1,260,498.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.