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Finding the Third Proportional to 380,976.75 and 814,439.25

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Solution

The third proportional to 380,976.75 and 814,439.25 is: 1,741,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,976.75 : 814,439.25 = 814,439.25 : x
  2. Step 2: Convert to fraction form
    380,976.75/814,439.25 = 814,439.25/x
  3. Step 3: Cross multiply
    380,976.75x = 814,439.25 × 814,439.25
  4. Step 4: Simplify right side
    380,976.75x = 663,311,291,940.56
  5. Step 5: Solve for x
    x = 663,311,291,940.56/380,976.75
  6. Step 6: Final answer
    x = 1,741,080.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.