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Finding the Third Proportional to 311,233.50 and 682,725

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Solution

The third proportional to 311,233.50 and 682,725 is: 1,497,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,233.50 : 682,725 = 682,725 : x
  2. Step 2: Convert to fraction form
    311,233.50/682,725 = 682,725/x
  3. Step 3: Cross multiply
    311,233.50x = 682,725 × 682,725
  4. Step 4: Simplify right side
    311,233.50x = 466,113,425,625
  5. Step 5: Solve for x
    x = 466,113,425,625/311,233.50
  6. Step 6: Final answer
    x = 1,497,632.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.