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Finding the Third Proportional to 262,648.50 and 512,173.50

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Solution

The third proportional to 262,648.50 and 512,173.50 is: 998,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,648.50 : 512,173.50 = 512,173.50 : x
  2. Step 2: Convert to fraction form
    262,648.50/512,173.50 = 512,173.50/x
  3. Step 3: Cross multiply
    262,648.50x = 512,173.50 × 512,173.50
  4. Step 4: Simplify right side
    262,648.50x = 262,321,694,102.25
  5. Step 5: Solve for x
    x = 262,321,694,102.25/262,648.50
  6. Step 6: Final answer
    x = 998,755.73

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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.