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Finding the Third Proportional to 260,208 and 568,035

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Solution

The third proportional to 260,208 and 568,035 is: 1,240,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,208 : 568,035 = 568,035 : x
  2. Step 2: Convert to fraction form
    260,208/568,035 = 568,035/x
  3. Step 3: Cross multiply
    260,208x = 568,035 × 568,035
  4. Step 4: Simplify right side
    260,208x = 322,663,761,225
  5. Step 5: Solve for x
    x = 322,663,761,225/260,208
  6. Step 6: Final answer
    x = 1,240,022.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.