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Finding the Third Proportional to 203,882.06 and 479,740.22

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Solution

The third proportional to 203,882.06 and 479,740.22 is: 1,128,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.06 : 479,740.22 = 479,740.22 : x
  2. Step 2: Convert to fraction form
    203,882.06/479,740.22 = 479,740.22/x
  3. Step 3: Cross multiply
    203,882.06x = 479,740.22 × 479,740.22
  4. Step 4: Simplify right side
    203,882.06x = 230,150,677,486.30
  5. Step 5: Solve for x
    x = 230,150,677,486.30/203,882.06
  6. Step 6: Final answer
    x = 1,128,842.21

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Why These Related Problems?

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