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Finding the Third Proportional to 203,838.75 and 479,620.13

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Solution

The third proportional to 203,838.75 and 479,620.13 is: 1,128,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,838.75 : 479,620.13 = 479,620.13 : x
  2. Step 2: Convert to fraction form
    203,838.75/479,620.13 = 479,620.13/x
  3. Step 3: Cross multiply
    203,838.75x = 479,620.13 × 479,620.13
  4. Step 4: Simplify right side
    203,838.75x = 230,035,464,305.02
  5. Step 5: Solve for x
    x = 230,035,464,305.02/203,838.75
  6. Step 6: Final answer
    x = 1,128,516.85

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.