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Finding the Third Proportional to 697.31 and 995.06

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Solution

The third proportional to 697.31 and 995.06 is: 1,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.31 : 995.06 = 995.06 : x
  2. Step 2: Convert to fraction form
    697.31/995.06 = 995.06/x
  3. Step 3: Cross multiply
    697.31x = 995.06 × 995.06
  4. Step 4: Simplify right side
    697.31x = 990,149.38
  5. Step 5: Solve for x
    x = 990,149.38/697.31
  6. Step 6: Final answer
    x = 1,419.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.