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Finding the Third Proportional to 387,844 and 600,198

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Solution

The third proportional to 387,844 and 600,198 is: 928,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,844 : 600,198 = 600,198 : x
  2. Step 2: Convert to fraction form
    387,844/600,198 = 600,198/x
  3. Step 3: Cross multiply
    387,844x = 600,198 × 600,198
  4. Step 4: Simplify right side
    387,844x = 360,237,639,204
  5. Step 5: Solve for x
    x = 360,237,639,204/387,844
  6. Step 6: Final answer
    x = 928,820.97

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