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Finding the Third Proportional to 259,196.75 and 568,215.75

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Solution

The third proportional to 259,196.75 and 568,215.75 is: 1,245,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,196.75 : 568,215.75 = 568,215.75 : x
  2. Step 2: Convert to fraction form
    259,196.75/568,215.75 = 568,215.75/x
  3. Step 3: Cross multiply
    259,196.75x = 568,215.75 × 568,215.75
  4. Step 4: Simplify right side
    259,196.75x = 322,869,138,548.06
  5. Step 5: Solve for x
    x = 322,869,138,548.06/259,196.75
  6. Step 6: Final answer
    x = 1,245,652.73

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Why These Related Problems?

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