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Finding the Third Proportional to 397,194 and 851,242

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Solution

The third proportional to 397,194 and 851,242 is: 1,824,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,194 : 851,242 = 851,242 : x
  2. Step 2: Convert to fraction form
    397,194/851,242 = 851,242/x
  3. Step 3: Cross multiply
    397,194x = 851,242 × 851,242
  4. Step 4: Simplify right side
    397,194x = 724,612,942,564
  5. Step 5: Solve for x
    x = 724,612,942,564/397,194
  6. Step 6: Final answer
    x = 1,824,330.03

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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.