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Finding the Third Proportional to 637.88 and 960.29

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Solution

The third proportional to 637.88 and 960.29 is: 1,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.88 : 960.29 = 960.29 : x
  2. Step 2: Convert to fraction form
    637.88/960.29 = 960.29/x
  3. Step 3: Cross multiply
    637.88x = 960.29 × 960.29
  4. Step 4: Simplify right side
    637.88x = 922,162.59
  5. Step 5: Solve for x
    x = 922,162.59/637.88
  6. Step 6: Final answer
    x = 1,445.68

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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.