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Finding the Third Proportional to 637.50 and 960.94

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Solution

The third proportional to 637.50 and 960.94 is: 1,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.50 : 960.94 = 960.94 : x
  2. Step 2: Convert to fraction form
    637.50/960.94 = 960.94/x
  3. Step 3: Cross multiply
    637.50x = 960.94 × 960.94
  4. Step 4: Simplify right side
    637.50x = 923,400.88
  5. Step 5: Solve for x
    x = 923,400.88/637.50
  6. Step 6: Final answer
    x = 1,448.47

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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.