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Finding the Third Proportional to 386,424 and 591,162

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Solution

The third proportional to 386,424 and 591,162 is: 904,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,424 : 591,162 = 591,162 : x
  2. Step 2: Convert to fraction form
    386,424/591,162 = 591,162/x
  3. Step 3: Cross multiply
    386,424x = 591,162 × 591,162
  4. Step 4: Simplify right side
    386,424x = 349,472,510,244
  5. Step 5: Solve for x
    x = 349,472,510,244/386,424
  6. Step 6: Final answer
    x = 904,375.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.