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Finding the Third Proportional to 300,931.50 and 467,469

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Solution

The third proportional to 300,931.50 and 467,469 is: 726,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,931.50 : 467,469 = 467,469 : x
  2. Step 2: Convert to fraction form
    300,931.50/467,469 = 467,469/x
  3. Step 3: Cross multiply
    300,931.50x = 467,469 × 467,469
  4. Step 4: Simplify right side
    300,931.50x = 218,527,265,961
  5. Step 5: Solve for x
    x = 218,527,265,961/300,931.50
  6. Step 6: Final answer
    x = 726,169.46

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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.