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Finding the Third Proportional to 206,379 and 481,648.50

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Solution

The third proportional to 206,379 and 481,648.50 is: 1,124,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,379 : 481,648.50 = 481,648.50 : x
  2. Step 2: Convert to fraction form
    206,379/481,648.50 = 481,648.50/x
  3. Step 3: Cross multiply
    206,379x = 481,648.50 × 481,648.50
  4. Step 4: Simplify right side
    206,379x = 231,985,277,552.25
  5. Step 5: Solve for x
    x = 231,985,277,552.25/206,379
  6. Step 6: Final answer
    x = 1,124,074.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.