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Finding the Third Proportional to 271,714 and 595,916

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Solution

The third proportional to 271,714 and 595,916 is: 1,306,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,714 : 595,916 = 595,916 : x
  2. Step 2: Convert to fraction form
    271,714/595,916 = 595,916/x
  3. Step 3: Cross multiply
    271,714x = 595,916 × 595,916
  4. Step 4: Simplify right side
    271,714x = 355,115,879,056
  5. Step 5: Solve for x
    x = 355,115,879,056/271,714
  6. Step 6: Final answer
    x = 1,306,947.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.