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Finding the Third Proportional to 311,544.50 and 466,788.75

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Solution

The third proportional to 311,544.50 and 466,788.75 is: 699,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,544.50 : 466,788.75 = 466,788.75 : x
  2. Step 2: Convert to fraction form
    311,544.50/466,788.75 = 466,788.75/x
  3. Step 3: Cross multiply
    311,544.50x = 466,788.75 × 466,788.75
  4. Step 4: Simplify right side
    311,544.50x = 217,891,737,126.56
  5. Step 5: Solve for x
    x = 217,891,737,126.56/311,544.50
  6. Step 6: Final answer
    x = 699,392.02

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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.