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Finding the Third Proportional to 311,105.25 and 664,856.25

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Solution

The third proportional to 311,105.25 and 664,856.25 is: 1,420,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,105.25 : 664,856.25 = 664,856.25 : x
  2. Step 2: Convert to fraction form
    311,105.25/664,856.25 = 664,856.25/x
  3. Step 3: Cross multiply
    311,105.25x = 664,856.25 × 664,856.25
  4. Step 4: Simplify right side
    311,105.25x = 442,033,833,164.06
  5. Step 5: Solve for x
    x = 442,033,833,164.06/311,105.25
  6. Step 6: Final answer
    x = 1,420,849.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.