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Finding the Third Proportional to 332,110 and 440,824

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Solution

The third proportional to 332,110 and 440,824 is: 585,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,110 : 440,824 = 440,824 : x
  2. Step 2: Convert to fraction form
    332,110/440,824 = 440,824/x
  3. Step 3: Cross multiply
    332,110x = 440,824 × 440,824
  4. Step 4: Simplify right side
    332,110x = 194,325,798,976
  5. Step 5: Solve for x
    x = 194,325,798,976/332,110
  6. Step 6: Final answer
    x = 585,124.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.