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Finding the Third Proportional to 271,324 and 589,339

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Solution

The third proportional to 271,324 and 589,339 is: 1,280,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,324 : 589,339 = 589,339 : x
  2. Step 2: Convert to fraction form
    271,324/589,339 = 589,339/x
  3. Step 3: Cross multiply
    271,324x = 589,339 × 589,339
  4. Step 4: Simplify right side
    271,324x = 347,320,456,921
  5. Step 5: Solve for x
    x = 347,320,456,921/271,324
  6. Step 6: Final answer
    x = 1,280,094.86

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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.