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Finding the Third Proportional to 259,073.44 and 568,174.50

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Solution

The third proportional to 259,073.44 and 568,174.50 is: 1,246,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,073.44 : 568,174.50 = 568,174.50 : x
  2. Step 2: Convert to fraction form
    259,073.44/568,174.50 = 568,174.50/x
  3. Step 3: Cross multiply
    259,073.44x = 568,174.50 × 568,174.50
  4. Step 4: Simplify right side
    259,073.44x = 322,822,262,450.25
  5. Step 5: Solve for x
    x = 322,822,262,450.25/259,073.44
  6. Step 6: Final answer
    x = 1,246,064.69

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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.