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Finding the Third Proportional to 201,791 and 424,493

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Solution

The third proportional to 201,791 and 424,493 is: 892,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,791 : 424,493 = 424,493 : x
  2. Step 2: Convert to fraction form
    201,791/424,493 = 424,493/x
  3. Step 3: Cross multiply
    201,791x = 424,493 × 424,493
  4. Step 4: Simplify right side
    201,791x = 180,194,307,049
  5. Step 5: Solve for x
    x = 180,194,307,049/201,791
  6. Step 6: Final answer
    x = 892,974.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.