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Finding the Third Proportional to 220,932 and 461,544

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Solution

The third proportional to 220,932 and 461,544 is: 964,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,932 : 461,544 = 461,544 : x
  2. Step 2: Convert to fraction form
    220,932/461,544 = 461,544/x
  3. Step 3: Cross multiply
    220,932x = 461,544 × 461,544
  4. Step 4: Simplify right side
    220,932x = 213,022,863,936
  5. Step 5: Solve for x
    x = 213,022,863,936/220,932
  6. Step 6: Final answer
    x = 964,201.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.