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Finding the Third Proportional to 185,976 and 401,469

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Solution

The third proportional to 185,976 and 401,469 is: 866,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976 : 401,469 = 401,469 : x
  2. Step 2: Convert to fraction form
    185,976/401,469 = 401,469/x
  3. Step 3: Cross multiply
    185,976x = 401,469 × 401,469
  4. Step 4: Simplify right side
    185,976x = 161,177,357,961
  5. Step 5: Solve for x
    x = 161,177,357,961/185,976
  6. Step 6: Final answer
    x = 866,656.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.