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Finding the Third Proportional to 308,238 and 451,692

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Solution

The third proportional to 308,238 and 451,692 is: 661,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,238 : 451,692 = 451,692 : x
  2. Step 2: Convert to fraction form
    308,238/451,692 = 451,692/x
  3. Step 3: Cross multiply
    308,238x = 451,692 × 451,692
  4. Step 4: Simplify right side
    308,238x = 204,025,662,864
  5. Step 5: Solve for x
    x = 204,025,662,864/308,238
  6. Step 6: Final answer
    x = 661,909.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.