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Finding the Third Proportional to 271,308 and 415,026

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Solution

The third proportional to 271,308 and 415,026 is: 634,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,308 : 415,026 = 415,026 : x
  2. Step 2: Convert to fraction form
    271,308/415,026 = 415,026/x
  3. Step 3: Cross multiply
    271,308x = 415,026 × 415,026
  4. Step 4: Simplify right side
    271,308x = 172,246,580,676
  5. Step 5: Solve for x
    x = 172,246,580,676/271,308
  6. Step 6: Final answer
    x = 634,874.68

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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.