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Finding the Third Proportional to 226,749 and 494,946

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Solution

The third proportional to 226,749 and 494,946 is: 1,080,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,749 : 494,946 = 494,946 : x
  2. Step 2: Convert to fraction form
    226,749/494,946 = 494,946/x
  3. Step 3: Cross multiply
    226,749x = 494,946 × 494,946
  4. Step 4: Simplify right side
    226,749x = 244,971,542,916
  5. Step 5: Solve for x
    x = 244,971,542,916/226,749
  6. Step 6: Final answer
    x = 1,080,364.38

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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.