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Finding the Third Proportional to 203,878 and 444,224

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Solution

The third proportional to 203,878 and 444,224 is: 967,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,878 : 444,224 = 444,224 : x
  2. Step 2: Convert to fraction form
    203,878/444,224 = 444,224/x
  3. Step 3: Cross multiply
    203,878x = 444,224 × 444,224
  4. Step 4: Simplify right side
    203,878x = 197,334,962,176
  5. Step 5: Solve for x
    x = 197,334,962,176/203,878
  6. Step 6: Final answer
    x = 967,907.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.