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Finding the Third Proportional to 311,890.50 and 656,373.38

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Solution

The third proportional to 311,890.50 and 656,373.38 is: 1,381,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,890.50 : 656,373.38 = 656,373.38 : x
  2. Step 2: Convert to fraction form
    311,890.50/656,373.38 = 656,373.38/x
  3. Step 3: Cross multiply
    311,890.50x = 656,373.38 × 656,373.38
  4. Step 4: Simplify right side
    311,890.50x = 430,826,007,408.89
  5. Step 5: Solve for x
    x = 430,826,007,408.89/311,890.50
  6. Step 6: Final answer
    x = 1,381,337.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.