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Finding the Third Proportional to 382,441.50 and 840,375

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Solution

The third proportional to 382,441.50 and 840,375 is: 1,846,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,441.50 : 840,375 = 840,375 : x
  2. Step 2: Convert to fraction form
    382,441.50/840,375 = 840,375/x
  3. Step 3: Cross multiply
    382,441.50x = 840,375 × 840,375
  4. Step 4: Simplify right side
    382,441.50x = 706,230,140,625
  5. Step 5: Solve for x
    x = 706,230,140,625/382,441.50
  6. Step 6: Final answer
    x = 1,846,635.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.