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Finding the Third Proportional to 207,668 and 462,064

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Solution

The third proportional to 207,668 and 462,064 is: 1,028,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,668 : 462,064 = 462,064 : x
  2. Step 2: Convert to fraction form
    207,668/462,064 = 462,064/x
  3. Step 3: Cross multiply
    207,668x = 462,064 × 462,064
  4. Step 4: Simplify right side
    207,668x = 213,503,140,096
  5. Step 5: Solve for x
    x = 213,503,140,096/207,668
  6. Step 6: Final answer
    x = 1,028,098.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.