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Finding the Third Proportional to 262,687.50 and 416,022.75

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Solution

The third proportional to 262,687.50 and 416,022.75 is: 658,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,687.50 : 416,022.75 = 416,022.75 : x
  2. Step 2: Convert to fraction form
    262,687.50/416,022.75 = 416,022.75/x
  3. Step 3: Cross multiply
    262,687.50x = 416,022.75 × 416,022.75
  4. Step 4: Simplify right side
    262,687.50x = 173,074,928,517.56
  5. Step 5: Solve for x
    x = 173,074,928,517.56/262,687.50
  6. Step 6: Final answer
    x = 658,862.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.