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Finding the Third Proportional to 262,401 and 543,474

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Solution

The third proportional to 262,401 and 543,474 is: 1,125,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,401 : 543,474 = 543,474 : x
  2. Step 2: Convert to fraction form
    262,401/543,474 = 543,474/x
  3. Step 3: Cross multiply
    262,401x = 543,474 × 543,474
  4. Step 4: Simplify right side
    262,401x = 295,363,988,676
  5. Step 5: Solve for x
    x = 295,363,988,676/262,401
  6. Step 6: Final answer
    x = 1,125,620.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.