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Finding the Third Proportional to 361,468 and 541,107.50

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Solution

The third proportional to 361,468 and 541,107.50 is: 810,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,468 : 541,107.50 = 541,107.50 : x
  2. Step 2: Convert to fraction form
    361,468/541,107.50 = 541,107.50/x
  3. Step 3: Cross multiply
    361,468x = 541,107.50 × 541,107.50
  4. Step 4: Simplify right side
    361,468x = 292,797,326,556.25
  5. Step 5: Solve for x
    x = 292,797,326,556.25/361,468
  6. Step 6: Final answer
    x = 810,022.81

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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.