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Finding the Third Proportional to 366.94 and 526.97

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Solution

The third proportional to 366.94 and 526.97 is: 756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.94 : 526.97 = 526.97 : x
  2. Step 2: Convert to fraction form
    366.94/526.97 = 526.97/x
  3. Step 3: Cross multiply
    366.94x = 526.97 × 526.97
  4. Step 4: Simplify right side
    366.94x = 277,696.06
  5. Step 5: Solve for x
    x = 277,696.06/366.94
  6. Step 6: Final answer
    x = 756.79

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.