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Finding the Third Proportional to 396,039 and 813,072

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Solution

The third proportional to 396,039 and 813,072 is: 1,669,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,039 : 813,072 = 813,072 : x
  2. Step 2: Convert to fraction form
    396,039/813,072 = 813,072/x
  3. Step 3: Cross multiply
    396,039x = 813,072 × 813,072
  4. Step 4: Simplify right side
    396,039x = 661,086,077,184
  5. Step 5: Solve for x
    x = 661,086,077,184/396,039
  6. Step 6: Final answer
    x = 1,669,244.89

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Why These Related Problems?

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