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Finding the Third Proportional to 443.25 and 934.63

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Solution

The third proportional to 443.25 and 934.63 is: 1,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 934.63 = 934.63 : x
  2. Step 2: Convert to fraction form
    443.25/934.63 = 934.63/x
  3. Step 3: Cross multiply
    443.25x = 934.63 × 934.63
  4. Step 4: Simplify right side
    443.25x = 873,523.89
  5. Step 5: Solve for x
    x = 873,523.89/443.25
  6. Step 6: Final answer
    x = 1,970.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.