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Finding the Third Proportional to 268,275 and 568,536

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Solution

The third proportional to 268,275 and 568,536 is: 1,204,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,275 : 568,536 = 568,536 : x
  2. Step 2: Convert to fraction form
    268,275/568,536 = 568,536/x
  3. Step 3: Cross multiply
    268,275x = 568,536 × 568,536
  4. Step 4: Simplify right side
    268,275x = 323,233,183,296
  5. Step 5: Solve for x
    x = 323,233,183,296/268,275
  6. Step 6: Final answer
    x = 1,204,857.64

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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.