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Finding the Third Proportional to 263,897 and 569,266

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Solution

The third proportional to 263,897 and 569,266 is: 1,227,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,897 : 569,266 = 569,266 : x
  2. Step 2: Convert to fraction form
    263,897/569,266 = 569,266/x
  3. Step 3: Cross multiply
    263,897x = 569,266 × 569,266
  4. Step 4: Simplify right side
    263,897x = 324,063,778,756
  5. Step 5: Solve for x
    x = 324,063,778,756/263,897
  6. Step 6: Final answer
    x = 1,227,993.42

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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.