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Finding the Third Proportional to 622 and 956.75

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Solution

The third proportional to 622 and 956.75 is: 1,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 956.75 = 956.75 : x
  2. Step 2: Convert to fraction form
    622/956.75 = 956.75/x
  3. Step 3: Cross multiply
    622x = 956.75 × 956.75
  4. Step 4: Simplify right side
    622x = 915,370.56
  5. Step 5: Solve for x
    x = 915,370.56/622
  6. Step 6: Final answer
    x = 1,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.