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Finding the Third Proportional to 379,838.25 and 810,525.38

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Solution

The third proportional to 379,838.25 and 810,525.38 is: 1,729,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,838.25 : 810,525.38 = 810,525.38 : x
  2. Step 2: Convert to fraction form
    379,838.25/810,525.38 = 810,525.38/x
  3. Step 3: Cross multiply
    379,838.25x = 810,525.38 × 810,525.38
  4. Step 4: Simplify right side
    379,838.25x = 656,951,383,518.89
  5. Step 5: Solve for x
    x = 656,951,383,518.89/379,838.25
  6. Step 6: Final answer
    x = 1,729,555.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.