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Finding the Third Proportional to 226,574 and 463,012

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Solution

The third proportional to 226,574 and 463,012 is: 946,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,574 : 463,012 = 463,012 : x
  2. Step 2: Convert to fraction form
    226,574/463,012 = 463,012/x
  3. Step 3: Cross multiply
    226,574x = 463,012 × 463,012
  4. Step 4: Simplify right side
    226,574x = 214,380,112,144
  5. Step 5: Solve for x
    x = 214,380,112,144/226,574
  6. Step 6: Final answer
    x = 946,181.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.