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Finding the Third Proportional to 220,620.38 and 476,232.75

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Solution

The third proportional to 220,620.38 and 476,232.75 is: 1,027,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,620.38 : 476,232.75 = 476,232.75 : x
  2. Step 2: Convert to fraction form
    220,620.38/476,232.75 = 476,232.75/x
  3. Step 3: Cross multiply
    220,620.38x = 476,232.75 × 476,232.75
  4. Step 4: Simplify right side
    220,620.38x = 226,797,632,172.56
  5. Step 5: Solve for x
    x = 226,797,632,172.56/220,620.38
  6. Step 6: Final answer
    x = 1,027,999.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.