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Finding the Third Proportional to 263,403 and 568,926

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Solution

The third proportional to 263,403 and 568,926 is: 1,228,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,403 : 568,926 = 568,926 : x
  2. Step 2: Convert to fraction form
    263,403/568,926 = 568,926/x
  3. Step 3: Cross multiply
    263,403x = 568,926 × 568,926
  4. Step 4: Simplify right side
    263,403x = 323,676,793,476
  5. Step 5: Solve for x
    x = 323,676,793,476/263,403
  6. Step 6: Final answer
    x = 1,228,827.29

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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.