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Finding the Third Proportional to 397,206 and 588,092

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Solution

The third proportional to 397,206 and 588,092 is: 870,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,206 : 588,092 = 588,092 : x
  2. Step 2: Convert to fraction form
    397,206/588,092 = 588,092/x
  3. Step 3: Cross multiply
    397,206x = 588,092 × 588,092
  4. Step 4: Simplify right side
    397,206x = 345,852,200,464
  5. Step 5: Solve for x
    x = 345,852,200,464/397,206
  6. Step 6: Final answer
    x = 870,712.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.