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Finding the Third Proportional to 396,008 and 525,112

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Solution

The third proportional to 396,008 and 525,112 is: 696,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,008 : 525,112 = 525,112 : x
  2. Step 2: Convert to fraction form
    396,008/525,112 = 525,112/x
  3. Step 3: Cross multiply
    396,008x = 525,112 × 525,112
  4. Step 4: Simplify right side
    396,008x = 275,742,612,544
  5. Step 5: Solve for x
    x = 275,742,612,544/396,008
  6. Step 6: Final answer
    x = 696,305.66

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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.