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Finding the Third Proportional to 184,824 and 395,889

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Solution

The third proportional to 184,824 and 395,889 is: 847,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,824 : 395,889 = 395,889 : x
  2. Step 2: Convert to fraction form
    184,824/395,889 = 395,889/x
  3. Step 3: Cross multiply
    184,824x = 395,889 × 395,889
  4. Step 4: Simplify right side
    184,824x = 156,728,100,321
  5. Step 5: Solve for x
    x = 156,728,100,321/184,824
  6. Step 6: Final answer
    x = 847,985.65

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Why These Related Problems?

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