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Finding the Third Proportional to 271,033 and 396,828

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Solution

The third proportional to 271,033 and 396,828 is: 581,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,033 : 396,828 = 396,828 : x
  2. Step 2: Convert to fraction form
    271,033/396,828 = 396,828/x
  3. Step 3: Cross multiply
    271,033x = 396,828 × 396,828
  4. Step 4: Simplify right side
    271,033x = 157,472,461,584
  5. Step 5: Solve for x
    x = 157,472,461,584/271,033
  6. Step 6: Final answer
    x = 581,008.44

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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.