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Finding the Third Proportional to 379,201.75 and 819,219.50

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Solution

The third proportional to 379,201.75 and 819,219.50 is: 1,769,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,201.75 : 819,219.50 = 819,219.50 : x
  2. Step 2: Convert to fraction form
    379,201.75/819,219.50 = 819,219.50/x
  3. Step 3: Cross multiply
    379,201.75x = 819,219.50 × 819,219.50
  4. Step 4: Simplify right side
    379,201.75x = 671,120,589,180.25
  5. Step 5: Solve for x
    x = 671,120,589,180.25/379,201.75
  6. Step 6: Final answer
    x = 1,769,824.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.