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Finding the Third Proportional to 271,342 and 589,388

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Solution

The third proportional to 271,342 and 589,388 is: 1,280,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,342 : 589,388 = 589,388 : x
  2. Step 2: Convert to fraction form
    271,342/589,388 = 589,388/x
  3. Step 3: Cross multiply
    271,342x = 589,388 × 589,388
  4. Step 4: Simplify right side
    271,342x = 347,378,214,544
  5. Step 5: Solve for x
    x = 347,378,214,544/271,342
  6. Step 6: Final answer
    x = 1,280,222.80

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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.