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Finding the Third Proportional to 271,954 and 589,100

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Solution

The third proportional to 271,954 and 589,100 is: 1,276,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,954 : 589,100 = 589,100 : x
  2. Step 2: Convert to fraction form
    271,954/589,100 = 589,100/x
  3. Step 3: Cross multiply
    271,954x = 589,100 × 589,100
  4. Step 4: Simplify right side
    271,954x = 347,038,810,000
  5. Step 5: Solve for x
    x = 347,038,810,000/271,954
  6. Step 6: Final answer
    x = 1,276,093.79

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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.