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Finding the Third Proportional to 410,310.75 and 853,236.75

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Solution

The third proportional to 410,310.75 and 853,236.75 is: 1,774,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,310.75 : 853,236.75 = 853,236.75 : x
  2. Step 2: Convert to fraction form
    410,310.75/853,236.75 = 853,236.75/x
  3. Step 3: Cross multiply
    410,310.75x = 853,236.75 × 853,236.75
  4. Step 4: Simplify right side
    410,310.75x = 728,012,951,550.56
  5. Step 5: Solve for x
    x = 728,012,951,550.56/410,310.75
  6. Step 6: Final answer
    x = 1,774,296.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.