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Finding the Third Proportional to 271,289 and 589,282

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Solution

The third proportional to 271,289 and 589,282 is: 1,280,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,289 : 589,282 = 589,282 : x
  2. Step 2: Convert to fraction form
    271,289/589,282 = 589,282/x
  3. Step 3: Cross multiply
    271,289x = 589,282 × 589,282
  4. Step 4: Simplify right side
    271,289x = 347,253,275,524
  5. Step 5: Solve for x
    x = 347,253,275,524/271,289
  6. Step 6: Final answer
    x = 1,280,012.37

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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.