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Finding the Third Proportional to 202,390 and 445,529

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Solution

The third proportional to 202,390 and 445,529 is: 980,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,390 : 445,529 = 445,529 : x
  2. Step 2: Convert to fraction form
    202,390/445,529 = 445,529/x
  3. Step 3: Cross multiply
    202,390x = 445,529 × 445,529
  4. Step 4: Simplify right side
    202,390x = 198,496,089,841
  5. Step 5: Solve for x
    x = 198,496,089,841/202,390
  6. Step 6: Final answer
    x = 980,760.36

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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.