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Finding the Third Proportional to 311,190.75 and 464,794.50

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Solution

The third proportional to 311,190.75 and 464,794.50 is: 694,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,190.75 : 464,794.50 = 464,794.50 : x
  2. Step 2: Convert to fraction form
    311,190.75/464,794.50 = 464,794.50/x
  3. Step 3: Cross multiply
    311,190.75x = 464,794.50 × 464,794.50
  4. Step 4: Simplify right side
    311,190.75x = 216,033,927,230.25
  5. Step 5: Solve for x
    x = 216,033,927,230.25/311,190.75
  6. Step 6: Final answer
    x = 694,217.06

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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.