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Finding the Third Proportional to 271,450 and 591,085

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Solution

The third proportional to 271,450 and 591,085 is: 1,287,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,450 : 591,085 = 591,085 : x
  2. Step 2: Convert to fraction form
    271,450/591,085 = 591,085/x
  3. Step 3: Cross multiply
    271,450x = 591,085 × 591,085
  4. Step 4: Simplify right side
    271,450x = 349,381,477,225
  5. Step 5: Solve for x
    x = 349,381,477,225/271,450
  6. Step 6: Final answer
    x = 1,287,093.30

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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.