Finding the Third Proportional to 364 and 737
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Solution
The third proportional to 364 and 737 is: 1,492.22
Step by Step Solution
- Step 1: Write the proportion equation
364 : 737 = 737 : x - Step 2: Convert to fraction form
364/737 = 737/x - Step 3: Cross multiply
364x = 737 × 737 - Step 4: Simplify right side
364x = 543,169 - Step 5: Solve for x
x = 543,169/364 - Step 6: Final answer
x = 1,492.22
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Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.