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Finding the Third Proportional to 271,845 and 588,490.50

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Solution

The third proportional to 271,845 and 588,490.50 is: 1,273,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,845 : 588,490.50 = 588,490.50 : x
  2. Step 2: Convert to fraction form
    271,845/588,490.50 = 588,490.50/x
  3. Step 3: Cross multiply
    271,845x = 588,490.50 × 588,490.50
  4. Step 4: Simplify right side
    271,845x = 346,321,068,590.25
  5. Step 5: Solve for x
    x = 346,321,068,590.25/271,845
  6. Step 6: Final answer
    x = 1,273,965.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.