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Finding the Third Proportional to 231,622 and 367,061

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Solution

The third proportional to 231,622 and 367,061 is: 581,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,622 : 367,061 = 367,061 : x
  2. Step 2: Convert to fraction form
    231,622/367,061 = 367,061/x
  3. Step 3: Cross multiply
    231,622x = 367,061 × 367,061
  4. Step 4: Simplify right side
    231,622x = 134,733,777,721
  5. Step 5: Solve for x
    x = 134,733,777,721/231,622
  6. Step 6: Final answer
    x = 581,696.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.