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Finding the Third Proportional to 391.50 and 622.69

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Solution

The third proportional to 391.50 and 622.69 is: 990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 622.69 = 622.69 : x
  2. Step 2: Convert to fraction form
    391.50/622.69 = 622.69/x
  3. Step 3: Cross multiply
    391.50x = 622.69 × 622.69
  4. Step 4: Simplify right side
    391.50x = 387,739.72
  5. Step 5: Solve for x
    x = 387,739.72/391.50
  6. Step 6: Final answer
    x = 990.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.