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Finding the Third Proportional to 262,401.75 and 417,737.25

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Solution

The third proportional to 262,401.75 and 417,737.25 is: 665,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,401.75 : 417,737.25 = 417,737.25 : x
  2. Step 2: Convert to fraction form
    262,401.75/417,737.25 = 417,737.25/x
  3. Step 3: Cross multiply
    262,401.75x = 417,737.25 × 417,737.25
  4. Step 4: Simplify right side
    262,401.75x = 174,504,410,037.56
  5. Step 5: Solve for x
    x = 174,504,410,037.56/262,401.75
  6. Step 6: Final answer
    x = 665,027.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.