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Finding the Third Proportional to 311,318.25 and 455,874.75

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Solution

The third proportional to 311,318.25 and 455,874.75 is: 667,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,318.25 : 455,874.75 = 455,874.75 : x
  2. Step 2: Convert to fraction form
    311,318.25/455,874.75 = 455,874.75/x
  3. Step 3: Cross multiply
    311,318.25x = 455,874.75 × 455,874.75
  4. Step 4: Simplify right side
    311,318.25x = 207,821,787,687.56
  5. Step 5: Solve for x
    x = 207,821,787,687.56/311,318.25
  6. Step 6: Final answer
    x = 667,554.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.