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Finding the Third Proportional to 995.20 and 1,505.04

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Solution

The third proportional to 995.20 and 1,505.04 is: 2,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.20 : 1,505.04 = 1,505.04 : x
  2. Step 2: Convert to fraction form
    995.20/1,505.04 = 1,505.04/x
  3. Step 3: Cross multiply
    995.20x = 1,505.04 × 1,505.04
  4. Step 4: Simplify right side
    995.20x = 2,265,142.58
  5. Step 5: Solve for x
    x = 2,265,142.58/995.20
  6. Step 6: Final answer
    x = 2,276.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.