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Finding the Third Proportional to 262,691.25 and 416,028.75

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Solution

The third proportional to 262,691.25 and 416,028.75 is: 658,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,691.25 : 416,028.75 = 416,028.75 : x
  2. Step 2: Convert to fraction form
    262,691.25/416,028.75 = 416,028.75/x
  3. Step 3: Cross multiply
    262,691.25x = 416,028.75 × 416,028.75
  4. Step 4: Simplify right side
    262,691.25x = 173,079,920,826.56
  5. Step 5: Solve for x
    x = 173,079,920,826.56/262,691.25
  6. Step 6: Final answer
    x = 658,872.04

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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.