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Finding the Third Proportional to 271,102.50 and 588,874.13

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Solution

The third proportional to 271,102.50 and 588,874.13 is: 1,279,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,102.50 : 588,874.13 = 588,874.13 : x
  2. Step 2: Convert to fraction form
    271,102.50/588,874.13 = 588,874.13/x
  3. Step 3: Cross multiply
    271,102.50x = 588,874.13 × 588,874.13
  4. Step 4: Simplify right side
    271,102.50x = 346,772,735,094.52
  5. Step 5: Solve for x
    x = 346,772,735,094.52/271,102.50
  6. Step 6: Final answer
    x = 1,279,120.39

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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.