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Finding the Third Proportional to 628.13 and 995.38

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Solution

The third proportional to 628.13 and 995.38 is: 1,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 995.38 = 995.38 : x
  2. Step 2: Convert to fraction form
    628.13/995.38 = 995.38/x
  3. Step 3: Cross multiply
    628.13x = 995.38 × 995.38
  4. Step 4: Simplify right side
    628.13x = 990,771.39
  5. Step 5: Solve for x
    x = 990,771.39/628.13
  6. Step 6: Final answer
    x = 1,577.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.