Fill in the blanks so that the equality holds
`418xx(236xx729)=(418xx________)xx729`

Answer

To solve the equation \( 418 \times 236 \times 729 = (418 \times \_\_\_\_\_) \times 729 \), we can use the associative property of multiplication. The associative property states that when multiplying three or more numbers, the way in which the numbers are grouped does not change the product.

### Step-by-Step Solution:

1. **Identify the given equation**:
We have the equation \( 418 \times 236 \times 729 = (418 \times \_\_\_\_\_) \times 729 \).

2. **Recognize the associative property**:
According to the associative property, we can group the numbers in different ways without changing the result. This means we can rearrange the multiplication as follows:
\[ (418 \times 236) \times 729 = 418 \times (236 \times 729) \]

3. **Compare both sides of the equation**:
We need to fill in the blank in the equation \( (418 \times \_\_\_\_\_) \times 729 \) such that it equals \( 418 \times 236 \times 729 \).

4. **Fill in the blank**:
From the equation, we can see that to make both sides equal, the blank must be filled with the number \( 236 \). Therefore, we have:
\[ (418 \times 236) \times 729 = (418 \times 236) \times 729 \]

5. **Final answer**:
The number that fills the blank is \( 236 \).

### Final Statement:
Thus, the completed equation is:
\[ 418 \times 236 \times 729 = (418 \times 236) \times 729 \]