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Finding the Third Proportional to 251,928 and 386,568

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Solution

The third proportional to 251,928 and 386,568 is: 593,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,928 : 386,568 = 386,568 : x
  2. Step 2: Convert to fraction form
    251,928/386,568 = 386,568/x
  3. Step 3: Cross multiply
    251,928x = 386,568 × 386,568
  4. Step 4: Simplify right side
    251,928x = 149,434,818,624
  5. Step 5: Solve for x
    x = 149,434,818,624/251,928
  6. Step 6: Final answer
    x = 593,164.79

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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.