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Finding the Third Proportional to 311,440.50 and 467,160.75

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Solution

The third proportional to 311,440.50 and 467,160.75 is: 700,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,440.50 : 467,160.75 = 467,160.75 : x
  2. Step 2: Convert to fraction form
    311,440.50/467,160.75 = 467,160.75/x
  3. Step 3: Cross multiply
    311,440.50x = 467,160.75 × 467,160.75
  4. Step 4: Simplify right side
    311,440.50x = 218,239,166,340.56
  5. Step 5: Solve for x
    x = 218,239,166,340.56/311,440.50
  6. Step 6: Final answer
    x = 700,741.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.