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Finding the Third Proportional to 212,661 and 462,474

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Solution

The third proportional to 212,661 and 462,474 is: 1,005,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,661 : 462,474 = 462,474 : x
  2. Step 2: Convert to fraction form
    212,661/462,474 = 462,474/x
  3. Step 3: Cross multiply
    212,661x = 462,474 × 462,474
  4. Step 4: Simplify right side
    212,661x = 213,882,200,676
  5. Step 5: Solve for x
    x = 213,882,200,676/212,661
  6. Step 6: Final answer
    x = 1,005,742.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.