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Finding the Third Proportional to 224,478 and 481,815

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Solution

The third proportional to 224,478 and 481,815 is: 1,034,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478 : 481,815 = 481,815 : x
  2. Step 2: Convert to fraction form
    224,478/481,815 = 481,815/x
  3. Step 3: Cross multiply
    224,478x = 481,815 × 481,815
  4. Step 4: Simplify right side
    224,478x = 232,145,694,225
  5. Step 5: Solve for x
    x = 232,145,694,225/224,478
  6. Step 6: Final answer
    x = 1,034,157.89

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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.