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Finding the Third Proportional to 311,520 and 654,144

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Solution

The third proportional to 311,520 and 654,144 is: 1,373,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,520 : 654,144 = 654,144 : x
  2. Step 2: Convert to fraction form
    311,520/654,144 = 654,144/x
  3. Step 3: Cross multiply
    311,520x = 654,144 × 654,144
  4. Step 4: Simplify right side
    311,520x = 427,904,372,736
  5. Step 5: Solve for x
    x = 427,904,372,736/311,520
  6. Step 6: Final answer
    x = 1,373,601.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.