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Finding the Third Proportional to 203,669 and 447,496

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Solution

The third proportional to 203,669 and 447,496 is: 983,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,669 : 447,496 = 447,496 : x
  2. Step 2: Convert to fraction form
    203,669/447,496 = 447,496/x
  3. Step 3: Cross multiply
    203,669x = 447,496 × 447,496
  4. Step 4: Simplify right side
    203,669x = 200,252,670,016
  5. Step 5: Solve for x
    x = 200,252,670,016/203,669
  6. Step 6: Final answer
    x = 983,226.07

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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.