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Finding the Third Proportional to 271,344 and 589,392

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Solution

The third proportional to 271,344 and 589,392 is: 1,280,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,344 : 589,392 = 589,392 : x
  2. Step 2: Convert to fraction form
    271,344/589,392 = 589,392/x
  3. Step 3: Cross multiply
    271,344x = 589,392 × 589,392
  4. Step 4: Simplify right side
    271,344x = 347,382,929,664
  5. Step 5: Solve for x
    x = 347,382,929,664/271,344
  6. Step 6: Final answer
    x = 1,280,230.74

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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.