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Finding the Third Proportional to 703.37 and 996.68

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Solution

The third proportional to 703.37 and 996.68 is: 1,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.37 : 996.68 = 996.68 : x
  2. Step 2: Convert to fraction form
    703.37/996.68 = 996.68/x
  3. Step 3: Cross multiply
    703.37x = 996.68 × 996.68
  4. Step 4: Simplify right side
    703.37x = 993,370.40
  5. Step 5: Solve for x
    x = 993,370.40/703.37
  6. Step 6: Final answer
    x = 1,412.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.