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Finding the Third Proportional to 184,826 and 395,893

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Solution

The third proportional to 184,826 and 395,893 is: 847,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,826 : 395,893 = 395,893 : x
  2. Step 2: Convert to fraction form
    184,826/395,893 = 395,893/x
  3. Step 3: Cross multiply
    184,826x = 395,893 × 395,893
  4. Step 4: Simplify right side
    184,826x = 156,731,267,449
  5. Step 5: Solve for x
    x = 156,731,267,449/184,826
  6. Step 6: Final answer
    x = 847,993.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.