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Finding the Third Proportional to 740.81 and 1,996.31

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Solution

The third proportional to 740.81 and 1,996.31 is: 5,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.81 : 1,996.31 = 1,996.31 : x
  2. Step 2: Convert to fraction form
    740.81/1,996.31 = 1,996.31/x
  3. Step 3: Cross multiply
    740.81x = 1,996.31 × 1,996.31
  4. Step 4: Simplify right side
    740.81x = 3,985,263.60
  5. Step 5: Solve for x
    x = 3,985,263.60/740.81
  6. Step 6: Final answer
    x = 5,379.58

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.