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Finding the Third Proportional to 268,283 and 568,549

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Solution

The third proportional to 268,283 and 568,549 is: 1,204,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,283 : 568,549 = 568,549 : x
  2. Step 2: Convert to fraction form
    268,283/568,549 = 568,549/x
  3. Step 3: Cross multiply
    268,283x = 568,549 × 568,549
  4. Step 4: Simplify right side
    268,283x = 323,247,965,401
  5. Step 5: Solve for x
    x = 323,247,965,401/268,283
  6. Step 6: Final answer
    x = 1,204,876.81

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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.