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Finding the Third Proportional to 263,100 and 568,239

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Solution

The third proportional to 263,100 and 568,239 is: 1,227,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,100 : 568,239 = 568,239 : x
  2. Step 2: Convert to fraction form
    263,100/568,239 = 568,239/x
  3. Step 3: Cross multiply
    263,100x = 568,239 × 568,239
  4. Step 4: Simplify right side
    263,100x = 322,895,561,121
  5. Step 5: Solve for x
    x = 322,895,561,121/263,100
  6. Step 6: Final answer
    x = 1,227,273.13

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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.