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Finding the Third Proportional to 406,517.25 and 858,819

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Solution

The third proportional to 406,517.25 and 858,819 is: 1,814,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,517.25 : 858,819 = 858,819 : x
  2. Step 2: Convert to fraction form
    406,517.25/858,819 = 858,819/x
  3. Step 3: Cross multiply
    406,517.25x = 858,819 × 858,819
  4. Step 4: Simplify right side
    406,517.25x = 737,570,074,761
  5. Step 5: Solve for x
    x = 737,570,074,761/406,517.25
  6. Step 6: Final answer
    x = 1,814,363.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.