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Finding the Third Proportional to 502,375.50 and 682,188.75

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Solution

The third proportional to 502,375.50 and 682,188.75 is: 926,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,375.50 : 682,188.75 = 682,188.75 : x
  2. Step 2: Convert to fraction form
    502,375.50/682,188.75 = 682,188.75/x
  3. Step 3: Cross multiply
    502,375.50x = 682,188.75 × 682,188.75
  4. Step 4: Simplify right side
    502,375.50x = 465,381,490,626.56
  5. Step 5: Solve for x
    x = 465,381,490,626.56/502,375.50
  6. Step 6: Final answer
    x = 926,361.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.