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Finding the Third Proportional to 219,630 and 481,285

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Solution

The third proportional to 219,630 and 481,285 is: 1,054,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,630 : 481,285 = 481,285 : x
  2. Step 2: Convert to fraction form
    219,630/481,285 = 481,285/x
  3. Step 3: Cross multiply
    219,630x = 481,285 × 481,285
  4. Step 4: Simplify right side
    219,630x = 231,635,251,225
  5. Step 5: Solve for x
    x = 231,635,251,225/219,630
  6. Step 6: Final answer
    x = 1,054,661.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.