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Finding the Third Proportional to 271,936 and 589,064

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Solution

The third proportional to 271,936 and 589,064 is: 1,276,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,936 : 589,064 = 589,064 : x
  2. Step 2: Convert to fraction form
    271,936/589,064 = 589,064/x
  3. Step 3: Cross multiply
    271,936x = 589,064 × 589,064
  4. Step 4: Simplify right side
    271,936x = 346,996,396,096
  5. Step 5: Solve for x
    x = 346,996,396,096/271,936
  6. Step 6: Final answer
    x = 1,276,022.29

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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.