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Finding the Third Proportional to 465,779.25 and 659,211.75

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Solution

The third proportional to 465,779.25 and 659,211.75 is: 932,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,779.25 : 659,211.75 = 659,211.75 : x
  2. Step 2: Convert to fraction form
    465,779.25/659,211.75 = 659,211.75/x
  3. Step 3: Cross multiply
    465,779.25x = 659,211.75 × 659,211.75
  4. Step 4: Simplify right side
    465,779.25x = 434,560,131,338.06
  5. Step 5: Solve for x
    x = 434,560,131,338.06/465,779.25
  6. Step 6: Final answer
    x = 932,974.43

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.