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Finding the Third Proportional to 259,199.75 and 568,221.75

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Solution

The third proportional to 259,199.75 and 568,221.75 is: 1,245,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,199.75 : 568,221.75 = 568,221.75 : x
  2. Step 2: Convert to fraction form
    259,199.75/568,221.75 = 568,221.75/x
  3. Step 3: Cross multiply
    259,199.75x = 568,221.75 × 568,221.75
  4. Step 4: Simplify right side
    259,199.75x = 322,875,957,173.06
  5. Step 5: Solve for x
    x = 322,875,957,173.06/259,199.75
  6. Step 6: Final answer
    x = 1,245,664.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.