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Finding the Third Proportional to 396,906.75 and 857,476.13

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Solution

The third proportional to 396,906.75 and 857,476.13 is: 1,852,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,906.75 : 857,476.13 = 857,476.13 : x
  2. Step 2: Convert to fraction form
    396,906.75/857,476.13 = 857,476.13/x
  3. Step 3: Cross multiply
    396,906.75x = 857,476.13 × 857,476.13
  4. Step 4: Simplify right side
    396,906.75x = 735,265,304,945.02
  5. Step 5: Solve for x
    x = 735,265,304,945.02/396,906.75
  6. Step 6: Final answer
    x = 1,852,488.79

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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.