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Finding the Third Proportional to 268,356 and 568,680

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Solution

The third proportional to 268,356 and 568,680 is: 1,205,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,356 : 568,680 = 568,680 : x
  2. Step 2: Convert to fraction form
    268,356/568,680 = 568,680/x
  3. Step 3: Cross multiply
    268,356x = 568,680 × 568,680
  4. Step 4: Simplify right side
    268,356x = 323,396,942,400
  5. Step 5: Solve for x
    x = 323,396,942,400/268,356
  6. Step 6: Final answer
    x = 1,205,104.20

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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.