Finding the Third Proportional to 442 and 757
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Solution
The third proportional to 442 and 757 is: 1,296.49
Step by Step Solution
- Step 1: Write the proportion equation
442 : 757 = 757 : x - Step 2: Convert to fraction form
442/757 = 757/x - Step 3: Cross multiply
442x = 757 × 757 - Step 4: Simplify right side
442x = 573,049 - Step 5: Solve for x
x = 573,049/442 - Step 6: Final answer
x = 1,296.49
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Why These Related Problems?
These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.