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Finding the Third Proportional to 466.07 and 939.73

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Solution

The third proportional to 466.07 and 939.73 is: 1,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.07 : 939.73 = 939.73 : x
  2. Step 2: Convert to fraction form
    466.07/939.73 = 939.73/x
  3. Step 3: Cross multiply
    466.07x = 939.73 × 939.73
  4. Step 4: Simplify right side
    466.07x = 883,086.01
  5. Step 5: Solve for x
    x = 883,086.01/466.07
  6. Step 6: Final answer
    x = 1,894.76

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.