Finding the Third Proportional to 296 and 533
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Solution
The third proportional to 296 and 533 is: 959.76
Step by Step Solution
- Step 1: Write the proportion equation
296 : 533 = 533 : x - Step 2: Convert to fraction form
296/533 = 533/x - Step 3: Cross multiply
296x = 533 × 533 - Step 4: Simplify right side
296x = 284,089 - Step 5: Solve for x
x = 284,089/296 - Step 6: Final answer
x = 959.76
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.