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Finding the Third Proportional to 271,707.75 and 595,903.50

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Solution

The third proportional to 271,707.75 and 595,903.50 is: 1,306,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.75 : 595,903.50 = 595,903.50 : x
  2. Step 2: Convert to fraction form
    271,707.75/595,903.50 = 595,903.50/x
  3. Step 3: Cross multiply
    271,707.75x = 595,903.50 × 595,903.50
  4. Step 4: Simplify right side
    271,707.75x = 355,100,981,312.25
  5. Step 5: Solve for x
    x = 355,100,981,312.25/271,707.75
  6. Step 6: Final answer
    x = 1,306,922.53

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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.