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Finding the Third Proportional to 396,187.50 and 853,977

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Solution

The third proportional to 396,187.50 and 853,977 is: 1,840,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,187.50 : 853,977 = 853,977 : x
  2. Step 2: Convert to fraction form
    396,187.50/853,977 = 853,977/x
  3. Step 3: Cross multiply
    396,187.50x = 853,977 × 853,977
  4. Step 4: Simplify right side
    396,187.50x = 729,276,716,529
  5. Step 5: Solve for x
    x = 729,276,716,529/396,187.50
  6. Step 6: Final answer
    x = 1,840,736.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.