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Finding the Third Proportional to 311,177.25 and 633,766.50

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Solution

The third proportional to 311,177.25 and 633,766.50 is: 1,290,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,177.25 : 633,766.50 = 633,766.50 : x
  2. Step 2: Convert to fraction form
    311,177.25/633,766.50 = 633,766.50/x
  3. Step 3: Cross multiply
    311,177.25x = 633,766.50 × 633,766.50
  4. Step 4: Simplify right side
    311,177.25x = 401,659,976,522.25
  5. Step 5: Solve for x
    x = 401,659,976,522.25/311,177.25
  6. Step 6: Final answer
    x = 1,290,775.52

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.