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Finding the Third Proportional to 260,226.75 and 580,287.75

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Solution

The third proportional to 260,226.75 and 580,287.75 is: 1,294,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,226.75 : 580,287.75 = 580,287.75 : x
  2. Step 2: Convert to fraction form
    260,226.75/580,287.75 = 580,287.75/x
  3. Step 3: Cross multiply
    260,226.75x = 580,287.75 × 580,287.75
  4. Step 4: Simplify right side
    260,226.75x = 336,733,872,800.06
  5. Step 5: Solve for x
    x = 336,733,872,800.06/260,226.75
  6. Step 6: Final answer
    x = 1,294,001.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.