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Finding the Third Proportional to 397,188 and 851,232

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Solution

The third proportional to 397,188 and 851,232 is: 1,824,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,188 : 851,232 = 851,232 : x
  2. Step 2: Convert to fraction form
    397,188/851,232 = 851,232/x
  3. Step 3: Cross multiply
    397,188x = 851,232 × 851,232
  4. Step 4: Simplify right side
    397,188x = 724,595,917,824
  5. Step 5: Solve for x
    x = 724,595,917,824/397,188
  6. Step 6: Final answer
    x = 1,824,314.73

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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.