Finding the Third Proportional to 434 and 946
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Solution
The third proportional to 434 and 946 is: 2,062.02
Step by Step Solution
- Step 1: Write the proportion equation
434 : 946 = 946 : x - Step 2: Convert to fraction form
434/946 = 946/x - Step 3: Cross multiply
434x = 946 × 946 - Step 4: Simplify right side
434x = 894,916 - Step 5: Solve for x
x = 894,916/434 - Step 6: Final answer
x = 2,062.02
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.