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Finding the Third Proportional to 203,640.75 and 447,346.13

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Solution

The third proportional to 203,640.75 and 447,346.13 is: 982,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,640.75 : 447,346.13 = 447,346.13 : x
  2. Step 2: Convert to fraction form
    203,640.75/447,346.13 = 447,346.13/x
  3. Step 3: Cross multiply
    203,640.75x = 447,346.13 × 447,346.13
  4. Step 4: Simplify right side
    203,640.75x = 200,118,555,552.52
  5. Step 5: Solve for x
    x = 200,118,555,552.52/203,640.75
  6. Step 6: Final answer
    x = 982,703.88

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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.