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Finding the Third Proportional to 275,048 and 567,223

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Solution

The third proportional to 275,048 and 567,223 is: 1,169,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,048 : 567,223 = 567,223 : x
  2. Step 2: Convert to fraction form
    275,048/567,223 = 567,223/x
  3. Step 3: Cross multiply
    275,048x = 567,223 × 567,223
  4. Step 4: Simplify right side
    275,048x = 321,741,931,729
  5. Step 5: Solve for x
    x = 321,741,931,729/275,048
  6. Step 6: Final answer
    x = 1,169,766.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.