Finding the Third Proportional to 663 and 1,263
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Solution
The third proportional to 663 and 1,263 is: 2,405.99
Step by Step Solution
- Step 1: Write the proportion equation
663 : 1,263 = 1,263 : x - Step 2: Convert to fraction form
663/1,263 = 1,263/x - Step 3: Cross multiply
663x = 1,263 × 1,263 - Step 4: Simplify right side
663x = 1,595,169 - Step 5: Solve for x
x = 1,595,169/663 - Step 6: Final answer
x = 2,405.99
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.