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Finding the Third Proportional to 361,470 and 541,110.75

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Solution

The third proportional to 361,470 and 541,110.75 is: 810,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,470 : 541,110.75 = 541,110.75 : x
  2. Step 2: Convert to fraction form
    361,470/541,110.75 = 541,110.75/x
  3. Step 3: Cross multiply
    361,470x = 541,110.75 × 541,110.75
  4. Step 4: Simplify right side
    361,470x = 292,800,843,765.56
  5. Step 5: Solve for x
    x = 292,800,843,765.56/361,470
  6. Step 6: Final answer
    x = 810,028.06

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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.