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Finding the Third Proportional to 275,604.50 and 413,408.25

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Solution

The third proportional to 275,604.50 and 413,408.25 is: 620,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,604.50 : 413,408.25 = 413,408.25 : x
  2. Step 2: Convert to fraction form
    275,604.50/413,408.25 = 413,408.25/x
  3. Step 3: Cross multiply
    275,604.50x = 413,408.25 × 413,408.25
  4. Step 4: Simplify right side
    275,604.50x = 170,906,381,168.06
  5. Step 5: Solve for x
    x = 170,906,381,168.06/275,604.50
  6. Step 6: Final answer
    x = 620,114.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.