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Finding the Third Proportional to 193,640 and 419,448

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Solution

The third proportional to 193,640 and 419,448 is: 908,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,640 : 419,448 = 419,448 : x
  2. Step 2: Convert to fraction form
    193,640/419,448 = 419,448/x
  3. Step 3: Cross multiply
    193,640x = 419,448 × 419,448
  4. Step 4: Simplify right side
    193,640x = 175,936,624,704
  5. Step 5: Solve for x
    x = 175,936,624,704/193,640
  6. Step 6: Final answer
    x = 908,575.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.