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Finding the Third Proportional to 262,986.75 and 534,174.75

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Solution

The third proportional to 262,986.75 and 534,174.75 is: 1,085,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,986.75 : 534,174.75 = 534,174.75 : x
  2. Step 2: Convert to fraction form
    262,986.75/534,174.75 = 534,174.75/x
  3. Step 3: Cross multiply
    262,986.75x = 534,174.75 × 534,174.75
  4. Step 4: Simplify right side
    262,986.75x = 285,342,663,537.56
  5. Step 5: Solve for x
    x = 285,342,663,537.56/262,986.75
  6. Step 6: Final answer
    x = 1,085,007.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.