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Finding the Third Proportional to 251,662 and 380,734

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Solution

The third proportional to 251,662 and 380,734 is: 576,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662 : 380,734 = 380,734 : x
  2. Step 2: Convert to fraction form
    251,662/380,734 = 380,734/x
  3. Step 3: Cross multiply
    251,662x = 380,734 × 380,734
  4. Step 4: Simplify right side
    251,662x = 144,958,378,756
  5. Step 5: Solve for x
    x = 144,958,378,756/251,662
  6. Step 6: Final answer
    x = 576,004.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.