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Finding the Third Proportional to 311,872.50 and 409,515.75

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Solution

The third proportional to 311,872.50 and 409,515.75 is: 537,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.50 : 409,515.75 = 409,515.75 : x
  2. Step 2: Convert to fraction form
    311,872.50/409,515.75 = 409,515.75/x
  3. Step 3: Cross multiply
    311,872.50x = 409,515.75 × 409,515.75
  4. Step 4: Simplify right side
    311,872.50x = 167,703,149,498.06
  5. Step 5: Solve for x
    x = 167,703,149,498.06/311,872.50
  6. Step 6: Final answer
    x = 537,729.84

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.