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Finding the Third Proportional to 746.09 and 1,181.78

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Solution

The third proportional to 746.09 and 1,181.78 is: 1,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,181.78 = 1,181.78 : x
  2. Step 2: Convert to fraction form
    746.09/1,181.78 = 1,181.78/x
  3. Step 3: Cross multiply
    746.09x = 1,181.78 × 1,181.78
  4. Step 4: Simplify right side
    746.09x = 1,396,597.69
  5. Step 5: Solve for x
    x = 1,396,597.69/746.09
  6. Step 6: Final answer
    x = 1,871.90

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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.