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Finding the Third Proportional to 271,336 and 415,068

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Solution

The third proportional to 271,336 and 415,068 is: 634,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,336 : 415,068 = 415,068 : x
  2. Step 2: Convert to fraction form
    271,336/415,068 = 415,068/x
  3. Step 3: Cross multiply
    271,336x = 415,068 × 415,068
  4. Step 4: Simplify right side
    271,336x = 172,281,444,624
  5. Step 5: Solve for x
    x = 172,281,444,624/271,336
  6. Step 6: Final answer
    x = 634,937.66

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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.