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Finding the Third Proportional to 276,318.05 and 412,770.62

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Solution

The third proportional to 276,318.05 and 412,770.62 is: 616,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,318.05 : 412,770.62 = 412,770.62 : x
  2. Step 2: Convert to fraction form
    276,318.05/412,770.62 = 412,770.62/x
  3. Step 3: Cross multiply
    276,318.05x = 412,770.62 × 412,770.62
  4. Step 4: Simplify right side
    276,318.05x = 170,379,585,638.13
  5. Step 5: Solve for x
    x = 170,379,585,638.13/276,318.05
  6. Step 6: Final answer
    x = 616,606.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.