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Finding the Third Proportional to 361,467.50 and 541,107.25

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Solution

The third proportional to 361,467.50 and 541,107.25 is: 810,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,467.50 : 541,107.25 = 541,107.25 : x
  2. Step 2: Convert to fraction form
    361,467.50/541,107.25 = 541,107.25/x
  3. Step 3: Cross multiply
    361,467.50x = 541,107.25 × 541,107.25
  4. Step 4: Simplify right side
    361,467.50x = 292,797,056,002.56
  5. Step 5: Solve for x
    x = 292,797,056,002.56/361,467.50
  6. Step 6: Final answer
    x = 810,023.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.