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Finding the Third Proportional to 271,086.50 and 593,869

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Solution

The third proportional to 271,086.50 and 593,869 is: 1,300,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,086.50 : 593,869 = 593,869 : x
  2. Step 2: Convert to fraction form
    271,086.50/593,869 = 593,869/x
  3. Step 3: Cross multiply
    271,086.50x = 593,869 × 593,869
  4. Step 4: Simplify right side
    271,086.50x = 352,680,389,161
  5. Step 5: Solve for x
    x = 352,680,389,161/271,086.50
  6. Step 6: Final answer
    x = 1,300,988.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.