Finding the Third Proportional to 814.50 and 1,275
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Solution
The third proportional to 814.50 and 1,275 is: 1,995.86
Step by Step Solution
- Step 1: Write the proportion equation
814.50 : 1,275 = 1,275 : x - Step 2: Convert to fraction form
814.50/1,275 = 1,275/x - Step 3: Cross multiply
814.50x = 1,275 × 1,275 - Step 4: Simplify right side
814.50x = 1,625,625 - Step 5: Solve for x
x = 1,625,625/814.50 - Step 6: Final answer
x = 1,995.86
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.