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Finding the Third Proportional to 224,100 and 485,874

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Solution

The third proportional to 224,100 and 485,874 is: 1,053,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,100 : 485,874 = 485,874 : x
  2. Step 2: Convert to fraction form
    224,100/485,874 = 485,874/x
  3. Step 3: Cross multiply
    224,100x = 485,874 × 485,874
  4. Step 4: Simplify right side
    224,100x = 236,073,543,876
  5. Step 5: Solve for x
    x = 236,073,543,876/224,100
  6. Step 6: Final answer
    x = 1,053,429.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.