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Finding the Third Proportional to 260,363.25 and 345,474.75

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Solution

The third proportional to 260,363.25 and 345,474.75 is: 458,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,363.25 : 345,474.75 = 345,474.75 : x
  2. Step 2: Convert to fraction form
    260,363.25/345,474.75 = 345,474.75/x
  3. Step 3: Cross multiply
    260,363.25x = 345,474.75 × 345,474.75
  4. Step 4: Simplify right side
    260,363.25x = 119,352,802,887.56
  5. Step 5: Solve for x
    x = 119,352,802,887.56/260,363.25
  6. Step 6: Final answer
    x = 458,408.79

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.