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Finding the Third Proportional to 202,377 and 445,503

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Solution

The third proportional to 202,377 and 445,503 is: 980,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,377 : 445,503 = 445,503 : x
  2. Step 2: Convert to fraction form
    202,377/445,503 = 445,503/x
  3. Step 3: Cross multiply
    202,377x = 445,503 × 445,503
  4. Step 4: Simplify right side
    202,377x = 198,472,923,009
  5. Step 5: Solve for x
    x = 198,472,923,009/202,377
  6. Step 6: Final answer
    x = 980,708.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.