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Finding the Third Proportional to 263,082.25 and 568,201.25

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Solution

The third proportional to 263,082.25 and 568,201.25 is: 1,227,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,082.25 : 568,201.25 = 568,201.25 : x
  2. Step 2: Convert to fraction form
    263,082.25/568,201.25 = 568,201.25/x
  3. Step 3: Cross multiply
    263,082.25x = 568,201.25 × 568,201.25
  4. Step 4: Simplify right side
    263,082.25x = 322,852,660,501.56
  5. Step 5: Solve for x
    x = 322,852,660,501.56/263,082.25
  6. Step 6: Final answer
    x = 1,227,192.87

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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.