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Finding the Third Proportional to 226,616 and 333,327

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Solution

The third proportional to 226,616 and 333,327 is: 490,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,616 : 333,327 = 333,327 : x
  2. Step 2: Convert to fraction form
    226,616/333,327 = 333,327/x
  3. Step 3: Cross multiply
    226,616x = 333,327 × 333,327
  4. Step 4: Simplify right side
    226,616x = 111,106,888,929
  5. Step 5: Solve for x
    x = 111,106,888,929/226,616
  6. Step 6: Final answer
    x = 490,287.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.