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Finding the Third Proportional to 271,917 and 437,764.50

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Solution

The third proportional to 271,917 and 437,764.50 is: 704,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,917 : 437,764.50 = 437,764.50 : x
  2. Step 2: Convert to fraction form
    271,917/437,764.50 = 437,764.50/x
  3. Step 3: Cross multiply
    271,917x = 437,764.50 × 437,764.50
  4. Step 4: Simplify right side
    271,917x = 191,637,757,460.25
  5. Step 5: Solve for x
    x = 191,637,757,460.25/271,917
  6. Step 6: Final answer
    x = 704,765.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.