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Finding the Third Proportional to 617.63 and 994.69

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Solution

The third proportional to 617.63 and 994.69 is: 1,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 994.69 = 994.69 : x
  2. Step 2: Convert to fraction form
    617.63/994.69 = 994.69/x
  3. Step 3: Cross multiply
    617.63x = 994.69 × 994.69
  4. Step 4: Simplify right side
    617.63x = 989,403.22
  5. Step 5: Solve for x
    x = 989,403.22/617.63
  6. Step 6: Final answer
    x = 1,601.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.