Finding the Third Proportional to 763 and 1,072
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Solution
The third proportional to 763 and 1,072 is: 1,506.14
Step by Step Solution
- Step 1: Write the proportion equation
763 : 1,072 = 1,072 : x - Step 2: Convert to fraction form
763/1,072 = 1,072/x - Step 3: Cross multiply
763x = 1,072 × 1,072 - Step 4: Simplify right side
763x = 1,149,184 - Step 5: Solve for x
x = 1,149,184/763 - Step 6: Final answer
x = 1,506.14
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.