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Finding the Third Proportional to 496.55 and 767.60

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Solution

The third proportional to 496.55 and 767.60 is: 1,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.55 : 767.60 = 767.60 : x
  2. Step 2: Convert to fraction form
    496.55/767.60 = 767.60/x
  3. Step 3: Cross multiply
    496.55x = 767.60 × 767.60
  4. Step 4: Simplify right side
    496.55x = 589,212.16
  5. Step 5: Solve for x
    x = 589,212.16/496.55
  6. Step 6: Final answer
    x = 1,186.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.