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Finding the Third Proportional to 271,896 and 413,838

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Solution

The third proportional to 271,896 and 413,838 is: 629,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,896 : 413,838 = 413,838 : x
  2. Step 2: Convert to fraction form
    271,896/413,838 = 413,838/x
  3. Step 3: Cross multiply
    271,896x = 413,838 × 413,838
  4. Step 4: Simplify right side
    271,896x = 171,261,890,244
  5. Step 5: Solve for x
    x = 171,261,890,244/271,896
  6. Step 6: Final answer
    x = 629,880.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.