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Finding the Third Proportional to 311,546.25 and 466,796.25

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Solution

The third proportional to 311,546.25 and 466,796.25 is: 699,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,546.25 : 466,796.25 = 466,796.25 : x
  2. Step 2: Convert to fraction form
    311,546.25/466,796.25 = 466,796.25/x
  3. Step 3: Cross multiply
    311,546.25x = 466,796.25 × 466,796.25
  4. Step 4: Simplify right side
    311,546.25x = 217,898,739,014.06
  5. Step 5: Solve for x
    x = 217,898,739,014.06/311,546.25
  6. Step 6: Final answer
    x = 699,410.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.