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Finding the Third Proportional to 267,013.50 and 400,573

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Solution

The third proportional to 267,013.50 and 400,573 is: 600,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,013.50 : 400,573 = 400,573 : x
  2. Step 2: Convert to fraction form
    267,013.50/400,573 = 400,573/x
  3. Step 3: Cross multiply
    267,013.50x = 400,573 × 400,573
  4. Step 4: Simplify right side
    267,013.50x = 160,458,728,329
  5. Step 5: Solve for x
    x = 160,458,728,329/267,013.50
  6. Step 6: Final answer
    x = 600,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.