What value will come in place of question mark (?) in the questions given below?
`(763.5)^2 = ? - 76.50`

Options

A. `565254.35`
B. `593845.35`
C. ` 583008.75`
D. `562854.75`

Answer

To solve the equation \( (763.5)^2 = ? - 76.50 \), we will follow these steps:

### Step 1: Calculate \( (763.5)^2 \)
First, we need to find the square of \( 763.5 \).

\[ (763.5)^2 = 763.5 \times 763.5 \]

Calculating this gives:

\[ (763.5)^2 = 582932.25 \]

### Step 2: Set up the equation
Now we can rewrite the equation with the calculated value:

\[ 582932.25 = ? - 76.50 \]

### Step 3: Isolate the question mark (?)
To find the value of \( ? \), we need to add \( 76.50 \) to both sides of the equation:

\[ ? = 582932.25 + 76.50 \]

### Step 4: Perform the addition
Now we will add \( 582932.25 \) and \( 76.50 \):

\[ ? = 582932.25 + 76.50 = 583008.75 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:

\[ \boxed{583008.75} \]

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