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Finding the Third Proportional to 225,357 and 456,936

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Solution

The third proportional to 225,357 and 456,936 is: 926,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,357 : 456,936 = 456,936 : x
  2. Step 2: Convert to fraction form
    225,357/456,936 = 456,936/x
  3. Step 3: Cross multiply
    225,357x = 456,936 × 456,936
  4. Step 4: Simplify right side
    225,357x = 208,790,508,096
  5. Step 5: Solve for x
    x = 208,790,508,096/225,357
  6. Step 6: Final answer
    x = 926,487.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.