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Finding the Third Proportional to 271,558 and 589,771

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Solution

The third proportional to 271,558 and 589,771 is: 1,280,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,558 : 589,771 = 589,771 : x
  2. Step 2: Convert to fraction form
    271,558/589,771 = 589,771/x
  3. Step 3: Cross multiply
    271,558x = 589,771 × 589,771
  4. Step 4: Simplify right side
    271,558x = 347,829,832,441
  5. Step 5: Solve for x
    x = 347,829,832,441/271,558
  6. Step 6: Final answer
    x = 1,280,867.56

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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.