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Finding the Third Proportional to 225,495 and 485,874

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Solution

The third proportional to 225,495 and 485,874 is: 1,046,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,495 : 485,874 = 485,874 : x
  2. Step 2: Convert to fraction form
    225,495/485,874 = 485,874/x
  3. Step 3: Cross multiply
    225,495x = 485,874 × 485,874
  4. Step 4: Simplify right side
    225,495x = 236,073,543,876
  5. Step 5: Solve for x
    x = 236,073,543,876/225,495
  6. Step 6: Final answer
    x = 1,046,912.54

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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.