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Finding the Third Proportional to 298,516 and 462,198

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Solution

The third proportional to 298,516 and 462,198 is: 715,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,516 : 462,198 = 462,198 : x
  2. Step 2: Convert to fraction form
    298,516/462,198 = 462,198/x
  3. Step 3: Cross multiply
    298,516x = 462,198 × 462,198
  4. Step 4: Simplify right side
    298,516x = 213,626,991,204
  5. Step 5: Solve for x
    x = 213,626,991,204/298,516
  6. Step 6: Final answer
    x = 715,629.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.