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Finding the Third Proportional to 399.50 and 617.13

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Solution

The third proportional to 399.50 and 617.13 is: 953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.50 : 617.13 = 617.13 : x
  2. Step 2: Convert to fraction form
    399.50/617.13 = 617.13/x
  3. Step 3: Cross multiply
    399.50x = 617.13 × 617.13
  4. Step 4: Simplify right side
    399.50x = 380,843.27
  5. Step 5: Solve for x
    x = 380,843.27/399.50
  6. Step 6: Final answer
    x = 953.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.