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Finding the Third Proportional to 262,635.75 and 512,149.50

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Solution

The third proportional to 262,635.75 and 512,149.50 is: 998,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,635.75 : 512,149.50 = 512,149.50 : x
  2. Step 2: Convert to fraction form
    262,635.75/512,149.50 = 512,149.50/x
  3. Step 3: Cross multiply
    262,635.75x = 512,149.50 × 512,149.50
  4. Step 4: Simplify right side
    262,635.75x = 262,297,110,350.25
  5. Step 5: Solve for x
    x = 262,297,110,350.25/262,635.75
  6. Step 6: Final answer
    x = 998,710.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.