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Finding the Third Proportional to 271,598 and 591,772

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Solution

The third proportional to 271,598 and 591,772 is: 1,289,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,598 : 591,772 = 591,772 : x
  2. Step 2: Convert to fraction form
    271,598/591,772 = 591,772/x
  3. Step 3: Cross multiply
    271,598x = 591,772 × 591,772
  4. Step 4: Simplify right side
    271,598x = 350,194,099,984
  5. Step 5: Solve for x
    x = 350,194,099,984/271,598
  6. Step 6: Final answer
    x = 1,289,383.94

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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.