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Finding the Third Proportional to 792.36 and 1,185.34

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Solution

The third proportional to 792.36 and 1,185.34 is: 1,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.36 : 1,185.34 = 1,185.34 : x
  2. Step 2: Convert to fraction form
    792.36/1,185.34 = 1,185.34/x
  3. Step 3: Cross multiply
    792.36x = 1,185.34 × 1,185.34
  4. Step 4: Simplify right side
    792.36x = 1,405,023.60
  5. Step 5: Solve for x
    x = 1,405,023.60/792.36
  6. Step 6: Final answer
    x = 1,773.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.