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Finding the Third Proportional to 397,801.13 and 858,615.19

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Solution

The third proportional to 397,801.13 and 858,615.19 is: 1,853,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,801.13 : 858,615.19 = 858,615.19 : x
  2. Step 2: Convert to fraction form
    397,801.13/858,615.19 = 858,615.19/x
  3. Step 3: Cross multiply
    397,801.13x = 858,615.19 × 858,615.19
  4. Step 4: Simplify right side
    397,801.13x = 737,220,040,205.66
  5. Step 5: Solve for x
    x = 737,220,040,205.66/397,801.13
  6. Step 6: Final answer
    x = 1,853,237.70

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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.