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Finding the Third Proportional to 311,110.50 and 664,866

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Solution

The third proportional to 311,110.50 and 664,866 is: 1,420,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,110.50 : 664,866 = 664,866 : x
  2. Step 2: Convert to fraction form
    311,110.50/664,866 = 664,866/x
  3. Step 3: Cross multiply
    311,110.50x = 664,866 × 664,866
  4. Step 4: Simplify right side
    311,110.50x = 442,046,797,956
  5. Step 5: Solve for x
    x = 442,046,797,956/311,110.50
  6. Step 6: Final answer
    x = 1,420,867.50

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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.