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Finding the Third Proportional to 263,649 and 568,770

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Solution

The third proportional to 263,649 and 568,770 is: 1,227,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,649 : 568,770 = 568,770 : x
  2. Step 2: Convert to fraction form
    263,649/568,770 = 568,770/x
  3. Step 3: Cross multiply
    263,649x = 568,770 × 568,770
  4. Step 4: Simplify right side
    263,649x = 323,499,312,900
  5. Step 5: Solve for x
    x = 323,499,312,900/263,649
  6. Step 6: Final answer
    x = 1,227,007.55

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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.