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Finding the Third Proportional to 311,046.75 and 464,622.75

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Solution

The third proportional to 311,046.75 and 464,622.75 is: 694,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,046.75 : 464,622.75 = 464,622.75 : x
  2. Step 2: Convert to fraction form
    311,046.75/464,622.75 = 464,622.75/x
  3. Step 3: Cross multiply
    311,046.75x = 464,622.75 × 464,622.75
  4. Step 4: Simplify right side
    311,046.75x = 215,874,299,817.56
  5. Step 5: Solve for x
    x = 215,874,299,817.56/311,046.75
  6. Step 6: Final answer
    x = 694,025.25

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Why These Related Problems?

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