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Finding the Third Proportional to 271,600 and 591,776

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Solution

The third proportional to 271,600 and 591,776 is: 1,289,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,600 : 591,776 = 591,776 : x
  2. Step 2: Convert to fraction form
    271,600/591,776 = 591,776/x
  3. Step 3: Cross multiply
    271,600x = 591,776 × 591,776
  4. Step 4: Simplify right side
    271,600x = 350,198,834,176
  5. Step 5: Solve for x
    x = 350,198,834,176/271,600
  6. Step 6: Final answer
    x = 1,289,391.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.