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Finding the Third Proportional to 461.72 and 995.91

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Solution

The third proportional to 461.72 and 995.91 is: 2,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 995.91 = 995.91 : x
  2. Step 2: Convert to fraction form
    461.72/995.91 = 995.91/x
  3. Step 3: Cross multiply
    461.72x = 995.91 × 995.91
  4. Step 4: Simplify right side
    461.72x = 991,829.26
  5. Step 5: Solve for x
    x = 991,829.26/461.72
  6. Step 6: Final answer
    x = 2,148.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.