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Finding the Third Proportional to 225,342 and 479,412

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Solution

The third proportional to 225,342 and 479,412 is: 1,019,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,342 : 479,412 = 479,412 : x
  2. Step 2: Convert to fraction form
    225,342/479,412 = 479,412/x
  3. Step 3: Cross multiply
    225,342x = 479,412 × 479,412
  4. Step 4: Simplify right side
    225,342x = 229,835,865,744
  5. Step 5: Solve for x
    x = 229,835,865,744/225,342
  6. Step 6: Final answer
    x = 1,019,942.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.