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Finding the Third Proportional to 263,076 and 568,188

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Solution

The third proportional to 263,076 and 568,188 is: 1,227,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,076 : 568,188 = 568,188 : x
  2. Step 2: Convert to fraction form
    263,076/568,188 = 568,188/x
  3. Step 3: Cross multiply
    263,076x = 568,188 × 568,188
  4. Step 4: Simplify right side
    263,076x = 322,837,603,344
  5. Step 5: Solve for x
    x = 322,837,603,344/263,076
  6. Step 6: Final answer
    x = 1,227,164.79

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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.