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Finding the Third Proportional to 460.37 and 960.29

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Solution

The third proportional to 460.37 and 960.29 is: 2,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.37 : 960.29 = 960.29 : x
  2. Step 2: Convert to fraction form
    460.37/960.29 = 960.29/x
  3. Step 3: Cross multiply
    460.37x = 960.29 × 960.29
  4. Step 4: Simplify right side
    460.37x = 922,162.59
  5. Step 5: Solve for x
    x = 922,162.59/460.37
  6. Step 6: Final answer
    x = 2,003.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.