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Finding the Third Proportional to 205,625.25 and 475,979.63

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Solution

The third proportional to 205,625.25 and 475,979.63 is: 1,101,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,625.25 : 475,979.63 = 475,979.63 : x
  2. Step 2: Convert to fraction form
    205,625.25/475,979.63 = 475,979.63/x
  3. Step 3: Cross multiply
    205,625.25x = 475,979.63 × 475,979.63
  4. Step 4: Simplify right side
    205,625.25x = 226,556,603,415.14
  5. Step 5: Solve for x
    x = 226,556,603,415.14/205,625.25
  6. Step 6: Final answer
    x = 1,101,793.69

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.