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Finding the Third Proportional to 441,843.75 and 700,764.75

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Solution

The third proportional to 441,843.75 and 700,764.75 is: 1,111,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,843.75 : 700,764.75 = 700,764.75 : x
  2. Step 2: Convert to fraction form
    441,843.75/700,764.75 = 700,764.75/x
  3. Step 3: Cross multiply
    441,843.75x = 700,764.75 × 700,764.75
  4. Step 4: Simplify right side
    441,843.75x = 491,071,234,842.56
  5. Step 5: Solve for x
    x = 491,071,234,842.56/441,843.75
  6. Step 6: Final answer
    x = 1,111,413.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.