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Finding the Third Proportional to 202,870 and 433,882

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Solution

The third proportional to 202,870 and 433,882 is: 927,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,870 : 433,882 = 433,882 : x
  2. Step 2: Convert to fraction form
    202,870/433,882 = 433,882/x
  3. Step 3: Cross multiply
    202,870x = 433,882 × 433,882
  4. Step 4: Simplify right side
    202,870x = 188,253,589,924
  5. Step 5: Solve for x
    x = 188,253,589,924/202,870
  6. Step 6: Final answer
    x = 927,951.84

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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.