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Finding the Third Proportional to 212,064 and 462,234

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Solution

The third proportional to 212,064 and 462,234 is: 1,007,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,064 : 462,234 = 462,234 : x
  2. Step 2: Convert to fraction form
    212,064/462,234 = 462,234/x
  3. Step 3: Cross multiply
    212,064x = 462,234 × 462,234
  4. Step 4: Simplify right side
    212,064x = 213,660,270,756
  5. Step 5: Solve for x
    x = 213,660,270,756/212,064
  6. Step 6: Final answer
    x = 1,007,527.31

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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.