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Finding the Third Proportional to 271,330 and 415,059

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Solution

The third proportional to 271,330 and 415,059 is: 634,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,330 : 415,059 = 415,059 : x
  2. Step 2: Convert to fraction form
    271,330/415,059 = 415,059/x
  3. Step 3: Cross multiply
    271,330x = 415,059 × 415,059
  4. Step 4: Simplify right side
    271,330x = 172,273,973,481
  5. Step 5: Solve for x
    x = 172,273,973,481/271,330
  6. Step 6: Final answer
    x = 634,924.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.