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Finding the Third Proportional to 268,266 and 568,512

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Solution

The third proportional to 268,266 and 568,512 is: 1,204,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,266 : 568,512 = 568,512 : x
  2. Step 2: Convert to fraction form
    268,266/568,512 = 568,512/x
  3. Step 3: Cross multiply
    268,266x = 568,512 × 568,512
  4. Step 4: Simplify right side
    268,266x = 323,205,894,144
  5. Step 5: Solve for x
    x = 323,205,894,144/268,266
  6. Step 6: Final answer
    x = 1,204,796.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.