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Finding the Third Proportional to 409,606.88 and 635,976.56

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Solution

The third proportional to 409,606.88 and 635,976.56 is: 987,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,606.88 : 635,976.56 = 635,976.56 : x
  2. Step 2: Convert to fraction form
    409,606.88/635,976.56 = 635,976.56/x
  3. Step 3: Cross multiply
    409,606.88x = 635,976.56 × 635,976.56
  4. Step 4: Simplify right side
    409,606.88x = 404,466,188,049.32
  5. Step 5: Solve for x
    x = 404,466,188,049.32/409,606.88
  6. Step 6: Final answer
    x = 987,449.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.