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Finding the Third Proportional to 444,107.25 and 674,469

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Solution

The third proportional to 444,107.25 and 674,469 is: 1,024,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,107.25 : 674,469 = 674,469 : x
  2. Step 2: Convert to fraction form
    444,107.25/674,469 = 674,469/x
  3. Step 3: Cross multiply
    444,107.25x = 674,469 × 674,469
  4. Step 4: Simplify right side
    444,107.25x = 454,908,431,961
  5. Step 5: Solve for x
    x = 454,908,431,961/444,107.25
  6. Step 6: Final answer
    x = 1,024,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.