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Finding the Third Proportional to 225,508 and 485,036

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Solution

The third proportional to 225,508 and 485,036 is: 1,043,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508 : 485,036 = 485,036 : x
  2. Step 2: Convert to fraction form
    225,508/485,036 = 485,036/x
  3. Step 3: Cross multiply
    225,508x = 485,036 × 485,036
  4. Step 4: Simplify right side
    225,508x = 235,259,921,296
  5. Step 5: Solve for x
    x = 235,259,921,296/225,508
  6. Step 6: Final answer
    x = 1,043,244.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.