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Finding the Third Proportional to 198,458 and 407,446

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Solution

The third proportional to 198,458 and 407,446 is: 836,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,458 : 407,446 = 407,446 : x
  2. Step 2: Convert to fraction form
    198,458/407,446 = 407,446/x
  3. Step 3: Cross multiply
    198,458x = 407,446 × 407,446
  4. Step 4: Simplify right side
    198,458x = 166,012,242,916
  5. Step 5: Solve for x
    x = 166,012,242,916/198,458
  6. Step 6: Final answer
    x = 836,510.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.