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Finding the Third Proportional to 271,709.25 and 595,906.50

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Solution

The third proportional to 271,709.25 and 595,906.50 is: 1,306,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709.25 : 595,906.50 = 595,906.50 : x
  2. Step 2: Convert to fraction form
    271,709.25/595,906.50 = 595,906.50/x
  3. Step 3: Cross multiply
    271,709.25x = 595,906.50 × 595,906.50
  4. Step 4: Simplify right side
    271,709.25x = 355,104,556,742.25
  5. Step 5: Solve for x
    x = 355,104,556,742.25/271,709.25
  6. Step 6: Final answer
    x = 1,306,928.48

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Why These Related Problems?

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