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Finding the Third Proportional to 271,411 and 580,094

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Solution

The third proportional to 271,411 and 580,094 is: 1,239,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411 : 580,094 = 580,094 : x
  2. Step 2: Convert to fraction form
    271,411/580,094 = 580,094/x
  3. Step 3: Cross multiply
    271,411x = 580,094 × 580,094
  4. Step 4: Simplify right side
    271,411x = 336,509,048,836
  5. Step 5: Solve for x
    x = 336,509,048,836/271,411
  6. Step 6: Final answer
    x = 1,239,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.