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Finding the Third Proportional to 263,397 and 568,911

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Solution

The third proportional to 263,397 and 568,911 is: 1,228,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,397 : 568,911 = 568,911 : x
  2. Step 2: Convert to fraction form
    263,397/568,911 = 568,911/x
  3. Step 3: Cross multiply
    263,397x = 568,911 × 568,911
  4. Step 4: Simplify right side
    263,397x = 323,659,725,921
  5. Step 5: Solve for x
    x = 323,659,725,921/263,397
  6. Step 6: Final answer
    x = 1,228,790.48

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