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Finding the Third Proportional to 396,049.50 and 525,163.50

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Solution

The third proportional to 396,049.50 and 525,163.50 is: 696,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,049.50 : 525,163.50 = 525,163.50 : x
  2. Step 2: Convert to fraction form
    396,049.50/525,163.50 = 525,163.50/x
  3. Step 3: Cross multiply
    396,049.50x = 525,163.50 × 525,163.50
  4. Step 4: Simplify right side
    396,049.50x = 275,796,701,732.25
  5. Step 5: Solve for x
    x = 275,796,701,732.25/396,049.50
  6. Step 6: Final answer
    x = 696,369.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.