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Finding the Third Proportional to 322,980 and 462,327

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Solution

The third proportional to 322,980 and 462,327 is: 661,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,980 : 462,327 = 462,327 : x
  2. Step 2: Convert to fraction form
    322,980/462,327 = 462,327/x
  3. Step 3: Cross multiply
    322,980x = 462,327 × 462,327
  4. Step 4: Simplify right side
    322,980x = 213,746,254,929
  5. Step 5: Solve for x
    x = 213,746,254,929/322,980
  6. Step 6: Final answer
    x = 661,794.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.