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Finding the Third Proportional to 311,311.50 and 466,968.75

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Solution

The third proportional to 311,311.50 and 466,968.75 is: 700,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,311.50 : 466,968.75 = 466,968.75 : x
  2. Step 2: Convert to fraction form
    311,311.50/466,968.75 = 466,968.75/x
  3. Step 3: Cross multiply
    311,311.50x = 466,968.75 × 466,968.75
  4. Step 4: Simplify right side
    311,311.50x = 218,059,813,476.56
  5. Step 5: Solve for x
    x = 218,059,813,476.56/311,311.50
  6. Step 6: Final answer
    x = 700,455.38

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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.