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Finding the Third Proportional to 202,869 and 433,880

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Solution

The third proportional to 202,869 and 433,880 is: 927,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,869 : 433,880 = 433,880 : x
  2. Step 2: Convert to fraction form
    202,869/433,880 = 433,880/x
  3. Step 3: Cross multiply
    202,869x = 433,880 × 433,880
  4. Step 4: Simplify right side
    202,869x = 188,251,854,400
  5. Step 5: Solve for x
    x = 188,251,854,400/202,869
  6. Step 6: Final answer
    x = 927,947.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.