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Finding the Third Proportional to 402.50 and 956.75

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Solution

The third proportional to 402.50 and 956.75 is: 2,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 956.75 = 956.75 : x
  2. Step 2: Convert to fraction form
    402.50/956.75 = 956.75/x
  3. Step 3: Cross multiply
    402.50x = 956.75 × 956.75
  4. Step 4: Simplify right side
    402.50x = 915,370.56
  5. Step 5: Solve for x
    x = 915,370.56/402.50
  6. Step 6: Final answer
    x = 2,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.