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Finding the Third Proportional to 212,589 and 462,542

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Solution

The third proportional to 212,589 and 462,542 is: 1,006,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,589 : 462,542 = 462,542 : x
  2. Step 2: Convert to fraction form
    212,589/462,542 = 462,542/x
  3. Step 3: Cross multiply
    212,589x = 462,542 × 462,542
  4. Step 4: Simplify right side
    212,589x = 213,945,101,764
  5. Step 5: Solve for x
    x = 213,945,101,764/212,589
  6. Step 6: Final answer
    x = 1,006,378.98

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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.