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Finding the Third Proportional to 397,796.06 and 858,605.06

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Solution

The third proportional to 397,796.06 and 858,605.06 is: 1,853,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,796.06 : 858,605.06 = 858,605.06 : x
  2. Step 2: Convert to fraction form
    397,796.06/858,605.06 = 858,605.06/x
  3. Step 3: Cross multiply
    397,796.06x = 858,605.06 × 858,605.06
  4. Step 4: Simplify right side
    397,796.06x = 737,202,653,350.63
  5. Step 5: Solve for x
    x = 737,202,653,350.63/397,796.06
  6. Step 6: Final answer
    x = 1,853,217.57

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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.