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Finding the Third Proportional to 322,245 and 483,144

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Solution

The third proportional to 322,245 and 483,144 is: 724,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,245 : 483,144 = 483,144 : x
  2. Step 2: Convert to fraction form
    322,245/483,144 = 483,144/x
  3. Step 3: Cross multiply
    322,245x = 483,144 × 483,144
  4. Step 4: Simplify right side
    322,245x = 233,428,124,736
  5. Step 5: Solve for x
    x = 233,428,124,736/322,245
  6. Step 6: Final answer
    x = 724,380.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.