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Finding the Third Proportional to 271,504 and 357,027

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Solution

The third proportional to 271,504 and 357,027 is: 469,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504 : 357,027 = 357,027 : x
  2. Step 2: Convert to fraction form
    271,504/357,027 = 357,027/x
  3. Step 3: Cross multiply
    271,504x = 357,027 × 357,027
  4. Step 4: Simplify right side
    271,504x = 127,468,278,729
  5. Step 5: Solve for x
    x = 127,468,278,729/271,504
  6. Step 6: Final answer
    x = 469,489.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.