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Finding the Third Proportional to 202,381 and 445,511

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Solution

The third proportional to 202,381 and 445,511 is: 980,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381 : 445,511 = 445,511 : x
  2. Step 2: Convert to fraction form
    202,381/445,511 = 445,511/x
  3. Step 3: Cross multiply
    202,381x = 445,511 × 445,511
  4. Step 4: Simplify right side
    202,381x = 198,480,051,121
  5. Step 5: Solve for x
    x = 198,480,051,121/202,381
  6. Step 6: Final answer
    x = 980,724.73

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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.