Question: Which three of the numbers below sum to exactly 3?
0.492
0.78
2.33
0.594
1.345
0.076
1. **State the problem:** We need to find three numbers from the list $0.492$, $0.78$, $2.33$, $0.594$, $1.345$, and $0.076$ whose sum is exactly $3$.
2. **Approach:** We will check combinations of three numbers and sum them to see if they equal $3$.
3. **Check combinations:**
- $0.492 + 0.78 + 2.33 = 3.602$ (too large)
- $0.492 + 0.78 + 0.594 = 1.866$ (too small)
- $0.492 + 0.78 + 1.345 = 2.617$ (too small)
- $0.492 + 0.78 + 0.076 = 1.348$ (too small)
- $0.492 + 2.33 + 0.594 = 3.416$ (too large)
- $0.492 + 2.33 + 1.345 = 4.167$ (too large)
- $0.492 + 2.33 + 0.076 = 2.898$ (close but less than 3)
- $0.492 + 0.594 + 1.345 = 2.431$ (too small)
- $0.492 + 0.594 + 0.076 = 1.162$ (too small)
- $0.492 + 1.345 + 0.076 = 1.913$ (too small)
- $0.78 + 2.33 + 0.594 = 3.704$ (too large)
- $0.78 + 2.33 + 1.345 = 4.455$ (too large)
- $0.78 + 2.33 + 0.076 = 3.186$ (too large)
- $0.78 + 0.594 + 1.345 = 2.719$ (too small)
- $0.78 + 0.594 + 0.076 = 1.45$ (too small)
- $0.78 + 1.345 + 0.076 = 2.201$ (too small)
- $2.33 + 0.594 + 1.345 = 4.269$ (too large)
- $2.33 + 0.594 + 0.076 = 3.0$ (exactly 3!)
- $2.33 + 1.345 + 0.076 = 3.751$ (too large)
4. **Conclusion:** The three numbers that sum exactly to $3$ are $2.33$, $0.594$, and $0.076$.
**Final answer:** $2.33 + 0.594 + 0.076 = 3$