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Finding the Third Proportional to 203,757 and 447,852

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Solution

The third proportional to 203,757 and 447,852 is: 984,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,757 : 447,852 = 447,852 : x
  2. Step 2: Convert to fraction form
    203,757/447,852 = 447,852/x
  3. Step 3: Cross multiply
    203,757x = 447,852 × 447,852
  4. Step 4: Simplify right side
    203,757x = 200,571,413,904
  5. Step 5: Solve for x
    x = 200,571,413,904/203,757
  6. Step 6: Final answer
    x = 984,365.76

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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.