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Finding the Third Proportional to 271,340 and 415,074

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Solution

The third proportional to 271,340 and 415,074 is: 634,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,340 : 415,074 = 415,074 : x
  2. Step 2: Convert to fraction form
    271,340/415,074 = 415,074/x
  3. Step 3: Cross multiply
    271,340x = 415,074 × 415,074
  4. Step 4: Simplify right side
    271,340x = 172,286,425,476
  5. Step 5: Solve for x
    x = 172,286,425,476/271,340
  6. Step 6: Final answer
    x = 634,946.66

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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.