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Finding the Third Proportional to 198,616 and 468,458

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Solution

The third proportional to 198,616 and 468,458 is: 1,104,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,616 : 468,458 = 468,458 : x
  2. Step 2: Convert to fraction form
    198,616/468,458 = 468,458/x
  3. Step 3: Cross multiply
    198,616x = 468,458 × 468,458
  4. Step 4: Simplify right side
    198,616x = 219,452,897,764
  5. Step 5: Solve for x
    x = 219,452,897,764/198,616
  6. Step 6: Final answer
    x = 1,104,910.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.