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Finding the Third Proportional to 263,286 and 568,524

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Solution

The third proportional to 263,286 and 568,524 is: 1,227,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,286 : 568,524 = 568,524 : x
  2. Step 2: Convert to fraction form
    263,286/568,524 = 568,524/x
  3. Step 3: Cross multiply
    263,286x = 568,524 × 568,524
  4. Step 4: Simplify right side
    263,286x = 323,219,538,576
  5. Step 5: Solve for x
    x = 323,219,538,576/263,286
  6. Step 6: Final answer
    x = 1,227,636.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.