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Finding the Third Proportional to 258,499.75 and 568,026.75

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Solution

The third proportional to 258,499.75 and 568,026.75 is: 1,248,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,499.75 : 568,026.75 = 568,026.75 : x
  2. Step 2: Convert to fraction form
    258,499.75/568,026.75 = 568,026.75/x
  3. Step 3: Cross multiply
    258,499.75x = 568,026.75 × 568,026.75
  4. Step 4: Simplify right side
    258,499.75x = 322,654,388,715.56
  5. Step 5: Solve for x
    x = 322,654,388,715.56/258,499.75
  6. Step 6: Final answer
    x = 1,248,180.66

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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.