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Finding the Third Proportional to 361,824 and 733,872

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Solution

The third proportional to 361,824 and 733,872 is: 1,488,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,824 : 733,872 = 733,872 : x
  2. Step 2: Convert to fraction form
    361,824/733,872 = 733,872/x
  3. Step 3: Cross multiply
    361,824x = 733,872 × 733,872
  4. Step 4: Simplify right side
    361,824x = 538,568,112,384
  5. Step 5: Solve for x
    x = 538,568,112,384/361,824
  6. Step 6: Final answer
    x = 1,488,480.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.