Finding the Third Proportional to 504 and 1,344
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Solution
The third proportional to 504 and 1,344 is: 3,584
Step by Step Solution
- Step 1: Write the proportion equation
504 : 1,344 = 1,344 : x - Step 2: Convert to fraction form
504/1,344 = 1,344/x - Step 3: Cross multiply
504x = 1,344 × 1,344 - Step 4: Simplify right side
504x = 1,806,336 - Step 5: Solve for x
x = 1,806,336/504 - Step 6: Final answer
x = 3,584
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These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.