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Finding the Third Proportional to 271,314 and 580,005

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Solution

The third proportional to 271,314 and 580,005 is: 1,239,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,314 : 580,005 = 580,005 : x
  2. Step 2: Convert to fraction form
    271,314/580,005 = 580,005/x
  3. Step 3: Cross multiply
    271,314x = 580,005 × 580,005
  4. Step 4: Simplify right side
    271,314x = 336,405,800,025
  5. Step 5: Solve for x
    x = 336,405,800,025/271,314
  6. Step 6: Final answer
    x = 1,239,913.16

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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.