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Finding the Third Proportional to 493,168 and 724,198

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Solution

The third proportional to 493,168 and 724,198 is: 1,063,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,168 : 724,198 = 724,198 : x
  2. Step 2: Convert to fraction form
    493,168/724,198 = 724,198/x
  3. Step 3: Cross multiply
    493,168x = 724,198 × 724,198
  4. Step 4: Simplify right side
    493,168x = 524,462,743,204
  5. Step 5: Solve for x
    x = 524,462,743,204/493,168
  6. Step 6: Final answer
    x = 1,063,456.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.