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Finding the Third Proportional to 199,612 and 437,869

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Solution

The third proportional to 199,612 and 437,869 is: 960,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,612 : 437,869 = 437,869 : x
  2. Step 2: Convert to fraction form
    199,612/437,869 = 437,869/x
  3. Step 3: Cross multiply
    199,612x = 437,869 × 437,869
  4. Step 4: Simplify right side
    199,612x = 191,729,261,161
  5. Step 5: Solve for x
    x = 191,729,261,161/199,612
  6. Step 6: Final answer
    x = 960,509.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.