Finding the Third Proportional to 535 and 1,199
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Solution
The third proportional to 535 and 1,199 is: 2,687.10
Step by Step Solution
- Step 1: Write the proportion equation
535 : 1,199 = 1,199 : x - Step 2: Convert to fraction form
535/1,199 = 1,199/x - Step 3: Cross multiply
535x = 1,199 × 1,199 - Step 4: Simplify right side
535x = 1,437,601 - Step 5: Solve for x
x = 1,437,601/535 - Step 6: Final answer
x = 2,687.10
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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.