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Finding the Third Proportional to 271,956 and 589,109

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Solution

The third proportional to 271,956 and 589,109 is: 1,276,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,956 : 589,109 = 589,109 : x
  2. Step 2: Convert to fraction form
    271,956/589,109 = 589,109/x
  3. Step 3: Cross multiply
    271,956x = 589,109 × 589,109
  4. Step 4: Simplify right side
    271,956x = 347,049,413,881
  5. Step 5: Solve for x
    x = 347,049,413,881/271,956
  6. Step 6: Final answer
    x = 1,276,123.39

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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.