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Finding the Third Proportional to 199,132 and 416,704

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Solution

The third proportional to 199,132 and 416,704 is: 871,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,132 : 416,704 = 416,704 : x
  2. Step 2: Convert to fraction form
    199,132/416,704 = 416,704/x
  3. Step 3: Cross multiply
    199,132x = 416,704 × 416,704
  4. Step 4: Simplify right side
    199,132x = 173,642,223,616
  5. Step 5: Solve for x
    x = 173,642,223,616/199,132
  6. Step 6: Final answer
    x = 871,995.58

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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.