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Finding the Third Proportional to 226,638 and 333,693

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Solution

The third proportional to 226,638 and 333,693 is: 491,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,638 : 333,693 = 333,693 : x
  2. Step 2: Convert to fraction form
    226,638/333,693 = 333,693/x
  3. Step 3: Cross multiply
    226,638x = 333,693 × 333,693
  4. Step 4: Simplify right side
    226,638x = 111,351,018,249
  5. Step 5: Solve for x
    x = 111,351,018,249/226,638
  6. Step 6: Final answer
    x = 491,316.63

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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.