Finding the Third Proportional to 450 and 1,173
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Solution
The third proportional to 450 and 1,173 is: 3,057.62
Step by Step Solution
- Step 1: Write the proportion equation
450 : 1,173 = 1,173 : x - Step 2: Convert to fraction form
450/1,173 = 1,173/x - Step 3: Cross multiply
450x = 1,173 × 1,173 - Step 4: Simplify right side
450x = 1,375,929 - Step 5: Solve for x
x = 1,375,929/450 - Step 6: Final answer
x = 3,057.62
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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.