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Finding the Third Proportional to 396,028.69 and 813,052.69

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Solution

The third proportional to 396,028.69 and 813,052.69 is: 1,669,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,028.69 : 813,052.69 = 813,052.69 : x
  2. Step 2: Convert to fraction form
    396,028.69/813,052.69 = 813,052.69/x
  3. Step 3: Cross multiply
    396,028.69x = 813,052.69 × 813,052.69
  4. Step 4: Simplify right side
    396,028.69x = 661,054,672,650.97
  5. Step 5: Solve for x
    x = 661,054,672,650.97/396,028.69
  6. Step 6: Final answer
    x = 1,669,209.06

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.