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Finding the Third Proportional to 271,221 and 567,228

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Solution

The third proportional to 271,221 and 567,228 is: 1,186,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,221 : 567,228 = 567,228 : x
  2. Step 2: Convert to fraction form
    271,221/567,228 = 567,228/x
  3. Step 3: Cross multiply
    271,221x = 567,228 × 567,228
  4. Step 4: Simplify right side
    271,221x = 321,747,603,984
  5. Step 5: Solve for x
    x = 321,747,603,984/271,221
  6. Step 6: Final answer
    x = 1,186,293.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.