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Finding the Third Proportional to 416.25 and 964.69

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Solution

The third proportional to 416.25 and 964.69 is: 2,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 964.69 = 964.69 : x
  2. Step 2: Convert to fraction form
    416.25/964.69 = 964.69/x
  3. Step 3: Cross multiply
    416.25x = 964.69 × 964.69
  4. Step 4: Simplify right side
    416.25x = 930,621.97
  5. Step 5: Solve for x
    x = 930,621.97/416.25
  6. Step 6: Final answer
    x = 2,235.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.