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Finding the Third Proportional to 380,963.25 and 827,556.75

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Solution

The third proportional to 380,963.25 and 827,556.75 is: 1,797,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,963.25 : 827,556.75 = 827,556.75 : x
  2. Step 2: Convert to fraction form
    380,963.25/827,556.75 = 827,556.75/x
  3. Step 3: Cross multiply
    380,963.25x = 827,556.75 × 827,556.75
  4. Step 4: Simplify right side
    380,963.25x = 684,850,174,470.56
  5. Step 5: Solve for x
    x = 684,850,174,470.56/380,963.25
  6. Step 6: Final answer
    x = 1,797,680.42

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Why These Related Problems?

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