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Finding the Third Proportional to 627.98 and 995.16

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Solution

The third proportional to 627.98 and 995.16 is: 1,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 995.16 = 995.16 : x
  2. Step 2: Convert to fraction form
    627.98/995.16 = 995.16/x
  3. Step 3: Cross multiply
    627.98x = 995.16 × 995.16
  4. Step 4: Simplify right side
    627.98x = 990,335.96
  5. Step 5: Solve for x
    x = 990,335.96/627.98
  6. Step 6: Final answer
    x = 1,577.01

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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.