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Finding the Third Proportional to 397,198.69 and 868,206.09

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Solution

The third proportional to 397,198.69 and 868,206.09 is: 1,897,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,198.69 : 868,206.09 = 868,206.09 : x
  2. Step 2: Convert to fraction form
    397,198.69/868,206.09 = 868,206.09/x
  3. Step 3: Cross multiply
    397,198.69x = 868,206.09 × 868,206.09
  4. Step 4: Simplify right side
    397,198.69x = 753,781,821,224.63
  5. Step 5: Solve for x
    x = 753,781,821,224.63/397,198.69
  6. Step 6: Final answer
    x = 1,897,745.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.