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Finding the Third Proportional to 203,987 and 444,265

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Solution

The third proportional to 203,987 and 444,265 is: 967,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,987 : 444,265 = 444,265 : x
  2. Step 2: Convert to fraction form
    203,987/444,265 = 444,265/x
  3. Step 3: Cross multiply
    203,987x = 444,265 × 444,265
  4. Step 4: Simplify right side
    203,987x = 197,371,390,225
  5. Step 5: Solve for x
    x = 197,371,390,225/203,987
  6. Step 6: Final answer
    x = 967,568.47

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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.