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Finding the Third Proportional to 395,296 and 871,232

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Solution

The third proportional to 395,296 and 871,232 is: 1,920,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,296 : 871,232 = 871,232 : x
  2. Step 2: Convert to fraction form
    395,296/871,232 = 871,232/x
  3. Step 3: Cross multiply
    395,296x = 871,232 × 871,232
  4. Step 4: Simplify right side
    395,296x = 759,045,197,824
  5. Step 5: Solve for x
    x = 759,045,197,824/395,296
  6. Step 6: Final answer
    x = 1,920,194.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.