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Finding the Third Proportional to 203,780 and 447,904

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Solution

The third proportional to 203,780 and 447,904 is: 984,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,780 : 447,904 = 447,904 : x
  2. Step 2: Convert to fraction form
    203,780/447,904 = 447,904/x
  3. Step 3: Cross multiply
    203,780x = 447,904 × 447,904
  4. Step 4: Simplify right side
    203,780x = 200,617,993,216
  5. Step 5: Solve for x
    x = 200,617,993,216/203,780
  6. Step 6: Final answer
    x = 984,483.23

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