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Finding the Third Proportional to 396,827.72 and 857,329.03

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Solution

The third proportional to 396,827.72 and 857,329.03 is: 1,852,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,827.72 : 857,329.03 = 857,329.03 : x
  2. Step 2: Convert to fraction form
    396,827.72/857,329.03 = 857,329.03/x
  3. Step 3: Cross multiply
    396,827.72x = 857,329.03 × 857,329.03
  4. Step 4: Simplify right side
    396,827.72x = 735,013,067,824.06
  5. Step 5: Solve for x
    x = 735,013,067,824.06/396,827.72
  6. Step 6: Final answer
    x = 1,852,222.09

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