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Finding the Third Proportional to 258,537.45 and 568,092.87

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Solution

The third proportional to 258,537.45 and 568,092.87 is: 1,248,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,537.45 : 568,092.87 = 568,092.87 : x
  2. Step 2: Convert to fraction form
    258,537.45/568,092.87 = 568,092.87/x
  3. Step 3: Cross multiply
    258,537.45x = 568,092.87 × 568,092.87
  4. Step 4: Simplify right side
    258,537.45x = 322,729,505,749.32
  5. Step 5: Solve for x
    x = 322,729,505,749.32/258,537.45
  6. Step 6: Final answer
    x = 1,248,289.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.