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Finding the Third Proportional to 122,477 and 262,450

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Solution

The third proportional to 122,477 and 262,450 is: 562,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,477 : 262,450 = 262,450 : x
  2. Step 2: Convert to fraction form
    122,477/262,450 = 262,450/x
  3. Step 3: Cross multiply
    122,477x = 262,450 × 262,450
  4. Step 4: Simplify right side
    122,477x = 68,880,002,500
  5. Step 5: Solve for x
    x = 68,880,002,500/122,477
  6. Step 6: Final answer
    x = 562,391.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.