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Finding the Third Proportional to 198,324 and 436,884

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Solution

The third proportional to 198,324 and 436,884 is: 962,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,324 : 436,884 = 436,884 : x
  2. Step 2: Convert to fraction form
    198,324/436,884 = 436,884/x
  3. Step 3: Cross multiply
    198,324x = 436,884 × 436,884
  4. Step 4: Simplify right side
    198,324x = 190,867,629,456
  5. Step 5: Solve for x
    x = 190,867,629,456/198,324
  6. Step 6: Final answer
    x = 962,403.09

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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.