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Finding the Third Proportional to 199,012 and 416,472

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Solution

The third proportional to 199,012 and 416,472 is: 871,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,012 : 416,472 = 416,472 : x
  2. Step 2: Convert to fraction form
    199,012/416,472 = 416,472/x
  3. Step 3: Cross multiply
    199,012x = 416,472 × 416,472
  4. Step 4: Simplify right side
    199,012x = 173,448,926,784
  5. Step 5: Solve for x
    x = 173,448,926,784/199,012
  6. Step 6: Final answer
    x = 871,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.