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Finding the Third Proportional to 184,718 and 398,958

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Solution

The third proportional to 184,718 and 398,958 is: 861,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,718 : 398,958 = 398,958 : x
  2. Step 2: Convert to fraction form
    184,718/398,958 = 398,958/x
  3. Step 3: Cross multiply
    184,718x = 398,958 × 398,958
  4. Step 4: Simplify right side
    184,718x = 159,167,485,764
  5. Step 5: Solve for x
    x = 159,167,485,764/184,718
  6. Step 6: Final answer
    x = 861,678.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.