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Finding the Third Proportional to 275,198 and 419,914.50

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Solution

The third proportional to 275,198 and 419,914.50 is: 640,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,198 : 419,914.50 = 419,914.50 : x
  2. Step 2: Convert to fraction form
    275,198/419,914.50 = 419,914.50/x
  3. Step 3: Cross multiply
    275,198x = 419,914.50 × 419,914.50
  4. Step 4: Simplify right side
    275,198x = 176,328,187,310.25
  5. Step 5: Solve for x
    x = 176,328,187,310.25/275,198
  6. Step 6: Final answer
    x = 640,732.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.