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Finding the Third Proportional to 462.94 and 995.06

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Solution

The third proportional to 462.94 and 995.06 is: 2,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 995.06 = 995.06 : x
  2. Step 2: Convert to fraction form
    462.94/995.06 = 995.06/x
  3. Step 3: Cross multiply
    462.94x = 995.06 × 995.06
  4. Step 4: Simplify right side
    462.94x = 990,149.38
  5. Step 5: Solve for x
    x = 990,149.38/462.94
  6. Step 6: Final answer
    x = 2,138.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.