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Finding the Third Proportional to 226,737 and 494,301

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Solution

The third proportional to 226,737 and 494,301 is: 1,077,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,737 : 494,301 = 494,301 : x
  2. Step 2: Convert to fraction form
    226,737/494,301 = 494,301/x
  3. Step 3: Cross multiply
    226,737x = 494,301 × 494,301
  4. Step 4: Simplify right side
    226,737x = 244,333,478,601
  5. Step 5: Solve for x
    x = 244,333,478,601/226,737
  6. Step 6: Final answer
    x = 1,077,607.44

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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.