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Finding the Third Proportional to 379,255.50 and 814,791.38

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Solution

The third proportional to 379,255.50 and 814,791.38 is: 1,750,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,255.50 : 814,791.38 = 814,791.38 : x
  2. Step 2: Convert to fraction form
    379,255.50/814,791.38 = 814,791.38/x
  3. Step 3: Cross multiply
    379,255.50x = 814,791.38 × 814,791.38
  4. Step 4: Simplify right side
    379,255.50x = 663,884,984,774.39
  5. Step 5: Solve for x
    x = 663,884,984,774.39/379,255.50
  6. Step 6: Final answer
    x = 1,750,495.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.