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Finding the Third Proportional to 396,777 and 603,469.50

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Solution

The third proportional to 396,777 and 603,469.50 is: 917,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,777 : 603,469.50 = 603,469.50 : x
  2. Step 2: Convert to fraction form
    396,777/603,469.50 = 603,469.50/x
  3. Step 3: Cross multiply
    396,777x = 603,469.50 × 603,469.50
  4. Step 4: Simplify right side
    396,777x = 364,175,437,430.25
  5. Step 5: Solve for x
    x = 364,175,437,430.25/396,777
  6. Step 6: Final answer
    x = 917,834.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.