Finding the Third Proportional to 596.25 and 1,296
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Solution
The third proportional to 596.25 and 1,296 is: 2,816.97
Step by Step Solution
- Step 1: Write the proportion equation
596.25 : 1,296 = 1,296 : x - Step 2: Convert to fraction form
596.25/1,296 = 1,296/x - Step 3: Cross multiply
596.25x = 1,296 × 1,296 - Step 4: Simplify right side
596.25x = 1,679,616 - Step 5: Solve for x
x = 1,679,616/596.25 - Step 6: Final answer
x = 2,816.97
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.