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Finding the Third Proportional to 271,222 and 567,230

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Solution

The third proportional to 271,222 and 567,230 is: 1,186,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,222 : 567,230 = 567,230 : x
  2. Step 2: Convert to fraction form
    271,222/567,230 = 567,230/x
  3. Step 3: Cross multiply
    271,222x = 567,230 × 567,230
  4. Step 4: Simplify right side
    271,222x = 321,749,872,900
  5. Step 5: Solve for x
    x = 321,749,872,900/271,222
  6. Step 6: Final answer
    x = 1,186,297.10

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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.