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Finding the Third Proportional to 447,974.75 and 693,629.75

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Solution

The third proportional to 447,974.75 and 693,629.75 is: 1,073,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,974.75 : 693,629.75 = 693,629.75 : x
  2. Step 2: Convert to fraction form
    447,974.75/693,629.75 = 693,629.75/x
  3. Step 3: Cross multiply
    447,974.75x = 693,629.75 × 693,629.75
  4. Step 4: Simplify right side
    447,974.75x = 481,122,230,085.06
  5. Step 5: Solve for x
    x = 481,122,230,085.06/447,974.75
  6. Step 6: Final answer
    x = 1,073,994.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.