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Finding the Third Proportional to 271,598.06 and 422,926.31

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Solution

The third proportional to 271,598.06 and 422,926.31 is: 658,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,598.06 : 422,926.31 = 422,926.31 : x
  2. Step 2: Convert to fraction form
    271,598.06/422,926.31 = 422,926.31/x
  3. Step 3: Cross multiply
    271,598.06x = 422,926.31 × 422,926.31
  4. Step 4: Simplify right side
    271,598.06x = 178,866,665,804.85
  5. Step 5: Solve for x
    x = 178,866,665,804.85/271,598.06
  6. Step 6: Final answer
    x = 658,571.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.