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Finding the Third Proportional to 184,690 and 398,908

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Solution

The third proportional to 184,690 and 398,908 is: 861,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,690 : 398,908 = 398,908 : x
  2. Step 2: Convert to fraction form
    184,690/398,908 = 398,908/x
  3. Step 3: Cross multiply
    184,690x = 398,908 × 398,908
  4. Step 4: Simplify right side
    184,690x = 159,127,592,464
  5. Step 5: Solve for x
    x = 159,127,592,464/184,690
  6. Step 6: Final answer
    x = 861,592.90

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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.