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Finding the Third Proportional to 226,364 and 491,728

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Solution

The third proportional to 226,364 and 491,728 is: 1,068,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364 : 491,728 = 491,728 : x
  2. Step 2: Convert to fraction form
    226,364/491,728 = 491,728/x
  3. Step 3: Cross multiply
    226,364x = 491,728 × 491,728
  4. Step 4: Simplify right side
    226,364x = 241,796,425,984
  5. Step 5: Solve for x
    x = 241,796,425,984/226,364
  6. Step 6: Final answer
    x = 1,068,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.