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Finding the Third Proportional to 311,848 and 685,068

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Solution

The third proportional to 311,848 and 685,068 is: 1,504,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,848 : 685,068 = 685,068 : x
  2. Step 2: Convert to fraction form
    311,848/685,068 = 685,068/x
  3. Step 3: Cross multiply
    311,848x = 685,068 × 685,068
  4. Step 4: Simplify right side
    311,848x = 469,318,164,624
  5. Step 5: Solve for x
    x = 469,318,164,624/311,848
  6. Step 6: Final answer
    x = 1,504,958.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.