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Finding the Third Proportional to 271,107 and 588,883.50

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Solution

The third proportional to 271,107 and 588,883.50 is: 1,279,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,107 : 588,883.50 = 588,883.50 : x
  2. Step 2: Convert to fraction form
    271,107/588,883.50 = 588,883.50/x
  3. Step 3: Cross multiply
    271,107x = 588,883.50 × 588,883.50
  4. Step 4: Simplify right side
    271,107x = 346,783,776,572.25
  5. Step 5: Solve for x
    x = 346,783,776,572.25/271,107
  6. Step 6: Final answer
    x = 1,279,139.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.