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Finding the Third Proportional to 322,548.75 and 512,334.75

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Solution

The third proportional to 322,548.75 and 512,334.75 is: 813,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,548.75 : 512,334.75 = 512,334.75 : x
  2. Step 2: Convert to fraction form
    322,548.75/512,334.75 = 512,334.75/x
  3. Step 3: Cross multiply
    322,548.75x = 512,334.75 × 512,334.75
  4. Step 4: Simplify right side
    322,548.75x = 262,486,896,057.56
  5. Step 5: Solve for x
    x = 262,486,896,057.56/322,548.75
  6. Step 6: Final answer
    x = 813,789.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.