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Finding the Third Proportional to 205,608.38 and 475,954.31

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Solution

The third proportional to 205,608.38 and 475,954.31 is: 1,101,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,608.38 : 475,954.31 = 475,954.31 : x
  2. Step 2: Convert to fraction form
    205,608.38/475,954.31 = 475,954.31/x
  3. Step 3: Cross multiply
    205,608.38x = 475,954.31 × 475,954.31
  4. Step 4: Simplify right side
    205,608.38x = 226,532,507,587.35
  5. Step 5: Solve for x
    x = 226,532,507,587.35/205,608.38
  6. Step 6: Final answer
    x = 1,101,766.93

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Why These Related Problems?

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