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Finding the Third Proportional to 184,733 and 399,827

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Solution

The third proportional to 184,733 and 399,827 is: 865,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,733 : 399,827 = 399,827 : x
  2. Step 2: Convert to fraction form
    184,733/399,827 = 399,827/x
  3. Step 3: Cross multiply
    184,733x = 399,827 × 399,827
  4. Step 4: Simplify right side
    184,733x = 159,861,629,929
  5. Step 5: Solve for x
    x = 159,861,629,929/184,733
  6. Step 6: Final answer
    x = 865,365.85

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Why These Related Problems?

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