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Finding the Third Proportional to 312,667.25 and 636,375.25

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Solution

The third proportional to 312,667.25 and 636,375.25 is: 1,295,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,667.25 : 636,375.25 = 636,375.25 : x
  2. Step 2: Convert to fraction form
    312,667.25/636,375.25 = 636,375.25/x
  3. Step 3: Cross multiply
    312,667.25x = 636,375.25 × 636,375.25
  4. Step 4: Simplify right side
    312,667.25x = 404,973,458,812.56
  5. Step 5: Solve for x
    x = 404,973,458,812.56/312,667.25
  6. Step 6: Final answer
    x = 1,295,221.87

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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.