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Finding the Third Proportional to 271,048 and 396,852

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Solution

The third proportional to 271,048 and 396,852 is: 581,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048 : 396,852 = 396,852 : x
  2. Step 2: Convert to fraction form
    271,048/396,852 = 396,852/x
  3. Step 3: Cross multiply
    271,048x = 396,852 × 396,852
  4. Step 4: Simplify right side
    271,048x = 157,491,509,904
  5. Step 5: Solve for x
    x = 157,491,509,904/271,048
  6. Step 6: Final answer
    x = 581,046.57

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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.