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Finding the Third Proportional to 622.57 and 950.41

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Solution

The third proportional to 622.57 and 950.41 is: 1,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.57 : 950.41 = 950.41 : x
  2. Step 2: Convert to fraction form
    622.57/950.41 = 950.41/x
  3. Step 3: Cross multiply
    622.57x = 950.41 × 950.41
  4. Step 4: Simplify right side
    622.57x = 903,270.18
  5. Step 5: Solve for x
    x = 903,270.18/622.57
  6. Step 6: Final answer
    x = 1,450.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.