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Finding the Third Proportional to 271,961 and 589,120

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Solution

The third proportional to 271,961 and 589,120 is: 1,276,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,961 : 589,120 = 589,120 : x
  2. Step 2: Convert to fraction form
    271,961/589,120 = 589,120/x
  3. Step 3: Cross multiply
    271,961x = 589,120 × 589,120
  4. Step 4: Simplify right side
    271,961x = 347,062,374,400
  5. Step 5: Solve for x
    x = 347,062,374,400/271,961
  6. Step 6: Final answer
    x = 1,276,147.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.