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Finding the Third Proportional to 203,608.13 and 447,369.75

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Solution

The third proportional to 203,608.13 and 447,369.75 is: 982,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608.13 : 447,369.75 = 447,369.75 : x
  2. Step 2: Convert to fraction form
    203,608.13/447,369.75 = 447,369.75/x
  3. Step 3: Cross multiply
    203,608.13x = 447,369.75 × 447,369.75
  4. Step 4: Simplify right side
    203,608.13x = 200,139,693,215.06
  5. Step 5: Solve for x
    x = 200,139,693,215.06/203,608.13
  6. Step 6: Final answer
    x = 982,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.