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Finding the Third Proportional to 400,023.75 and 874,769.25

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Solution

The third proportional to 400,023.75 and 874,769.25 is: 1,912,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,023.75 : 874,769.25 = 874,769.25 : x
  2. Step 2: Convert to fraction form
    400,023.75/874,769.25 = 874,769.25/x
  3. Step 3: Cross multiply
    400,023.75x = 874,769.25 × 874,769.25
  4. Step 4: Simplify right side
    400,023.75x = 765,221,240,745.56
  5. Step 5: Solve for x
    x = 765,221,240,745.56/400,023.75
  6. Step 6: Final answer
    x = 1,912,939.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.