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Finding the Third Proportional to 396,036 and 525,150

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Solution

The third proportional to 396,036 and 525,150 is: 696,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,036 : 525,150 = 525,150 : x
  2. Step 2: Convert to fraction form
    396,036/525,150 = 525,150/x
  3. Step 3: Cross multiply
    396,036x = 525,150 × 525,150
  4. Step 4: Simplify right side
    396,036x = 275,782,522,500
  5. Step 5: Solve for x
    x = 275,782,522,500/396,036
  6. Step 6: Final answer
    x = 696,357.21

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