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Finding the Third Proportional to 416,236.50 and 622,658.25

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Solution

The third proportional to 416,236.50 and 622,658.25 is: 931,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,236.50 : 622,658.25 = 622,658.25 : x
  2. Step 2: Convert to fraction form
    416,236.50/622,658.25 = 622,658.25/x
  3. Step 3: Cross multiply
    416,236.50x = 622,658.25 × 622,658.25
  4. Step 4: Simplify right side
    416,236.50x = 387,703,296,293.06
  5. Step 5: Solve for x
    x = 387,703,296,293.06/416,236.50
  6. Step 6: Final answer
    x = 931,449.54

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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.