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Finding the Third Proportional to 271,030 and 396,824

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Solution

The third proportional to 271,030 and 396,824 is: 581,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,030 : 396,824 = 396,824 : x
  2. Step 2: Convert to fraction form
    271,030/396,824 = 396,824/x
  3. Step 3: Cross multiply
    271,030x = 396,824 × 396,824
  4. Step 4: Simplify right side
    271,030x = 157,469,286,976
  5. Step 5: Solve for x
    x = 157,469,286,976/271,030
  6. Step 6: Final answer
    x = 581,003.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.