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Finding the Third Proportional to 416,604 and 622,180

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Solution

The third proportional to 416,604 and 622,180 is: 929,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,604 : 622,180 = 622,180 : x
  2. Step 2: Convert to fraction form
    416,604/622,180 = 622,180/x
  3. Step 3: Cross multiply
    416,604x = 622,180 × 622,180
  4. Step 4: Simplify right side
    416,604x = 387,107,952,400
  5. Step 5: Solve for x
    x = 387,107,952,400/416,604
  6. Step 6: Final answer
    x = 929,198.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.