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Finding the Third Proportional to 396,828.94 and 857,331.38

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Solution

The third proportional to 396,828.94 and 857,331.38 is: 1,852,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,828.94 : 857,331.38 = 857,331.38 : x
  2. Step 2: Convert to fraction form
    396,828.94/857,331.38 = 857,331.38/x
  3. Step 3: Cross multiply
    396,828.94x = 857,331.38 × 857,331.38
  4. Step 4: Simplify right side
    396,828.94x = 735,017,086,559.39
  5. Step 5: Solve for x
    x = 735,017,086,559.39/396,828.94
  6. Step 6: Final answer
    x = 1,852,226.53

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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.