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Finding the Third Proportional to 367.35 and 792.60

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Solution

The third proportional to 367.35 and 792.60 is: 1,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 792.60 = 792.60 : x
  2. Step 2: Convert to fraction form
    367.35/792.60 = 792.60/x
  3. Step 3: Cross multiply
    367.35x = 792.60 × 792.60
  4. Step 4: Simplify right side
    367.35x = 628,211.04
  5. Step 5: Solve for x
    x = 628,211.04/367.35
  6. Step 6: Final answer
    x = 1,710.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.