Finding the Third Proportional to 757 and 1,233
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Solution
The third proportional to 757 and 1,233 is: 2,008.31
Step by Step Solution
- Step 1: Write the proportion equation
757 : 1,233 = 1,233 : x - Step 2: Convert to fraction form
757/1,233 = 1,233/x - Step 3: Cross multiply
757x = 1,233 × 1,233 - Step 4: Simplify right side
757x = 1,520,289 - Step 5: Solve for x
x = 1,520,289/757 - Step 6: Final answer
x = 2,008.31
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.