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Finding the Third Proportional to 203,781.75 and 447,901.13

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Solution

The third proportional to 203,781.75 and 447,901.13 is: 984,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781.75 : 447,901.13 = 447,901.13 : x
  2. Step 2: Convert to fraction form
    203,781.75/447,901.13 = 447,901.13/x
  3. Step 3: Cross multiply
    203,781.75x = 447,901.13 × 447,901.13
  4. Step 4: Simplify right side
    203,781.75x = 200,615,417,776.27
  5. Step 5: Solve for x
    x = 200,615,417,776.27/203,781.75
  6. Step 6: Final answer
    x = 984,462.14

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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.