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Finding the Third Proportional to 271,199.39 and 583,212.23

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Solution

The third proportional to 271,199.39 and 583,212.23 is: 1,254,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,199.39 : 583,212.23 = 583,212.23 : x
  2. Step 2: Convert to fraction form
    271,199.39/583,212.23 = 583,212.23/x
  3. Step 3: Cross multiply
    271,199.39x = 583,212.23 × 583,212.23
  4. Step 4: Simplify right side
    271,199.39x = 340,136,510,324.68
  5. Step 5: Solve for x
    x = 340,136,510,324.68/271,199.39
  6. Step 6: Final answer
    x = 1,254,193.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.