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Finding the Third Proportional to 225,654 and 480,286

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Solution

The third proportional to 225,654 and 480,286 is: 1,022,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,654 : 480,286 = 480,286 : x
  2. Step 2: Convert to fraction form
    225,654/480,286 = 480,286/x
  3. Step 3: Cross multiply
    225,654x = 480,286 × 480,286
  4. Step 4: Simplify right side
    225,654x = 230,674,641,796
  5. Step 5: Solve for x
    x = 230,674,641,796/225,654
  6. Step 6: Final answer
    x = 1,022,249.29

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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.