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Finding the Third Proportional to 203,919 and 444,702

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Solution

The third proportional to 203,919 and 444,702 is: 969,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,919 : 444,702 = 444,702 : x
  2. Step 2: Convert to fraction form
    203,919/444,702 = 444,702/x
  3. Step 3: Cross multiply
    203,919x = 444,702 × 444,702
  4. Step 4: Simplify right side
    203,919x = 197,759,868,804
  5. Step 5: Solve for x
    x = 197,759,868,804/203,919
  6. Step 6: Final answer
    x = 969,796.19

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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.