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Finding the Third Proportional to 378,865.69 and 823,128.75

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Solution

The third proportional to 378,865.69 and 823,128.75 is: 1,788,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,865.69 : 823,128.75 = 823,128.75 : x
  2. Step 2: Convert to fraction form
    378,865.69/823,128.75 = 823,128.75/x
  3. Step 3: Cross multiply
    378,865.69x = 823,128.75 × 823,128.75
  4. Step 4: Simplify right side
    378,865.69x = 677,540,939,076.56
  5. Step 5: Solve for x
    x = 677,540,939,076.56/378,865.69
  6. Step 6: Final answer
    x = 1,788,340.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.