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Finding the Third Proportional to 212,331 and 462,126

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Solution

The third proportional to 212,331 and 462,126 is: 1,005,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,331 : 462,126 = 462,126 : x
  2. Step 2: Convert to fraction form
    212,331/462,126 = 462,126/x
  3. Step 3: Cross multiply
    212,331x = 462,126 × 462,126
  4. Step 4: Simplify right side
    212,331x = 213,560,439,876
  5. Step 5: Solve for x
    x = 213,560,439,876/212,331
  6. Step 6: Final answer
    x = 1,005,790.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.