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Finding the Third Proportional to 659.56 and 994.44

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Solution

The third proportional to 659.56 and 994.44 is: 1,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.56 : 994.44 = 994.44 : x
  2. Step 2: Convert to fraction form
    659.56/994.44 = 994.44/x
  3. Step 3: Cross multiply
    659.56x = 994.44 × 994.44
  4. Step 4: Simplify right side
    659.56x = 988,905.94
  5. Step 5: Solve for x
    x = 988,905.94/659.56
  6. Step 6: Final answer
    x = 1,499.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.