Finding the Third Proportional to 766 and 873
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Solution
The third proportional to 766 and 873 is: 994.95
Step by Step Solution
- Step 1: Write the proportion equation
766 : 873 = 873 : x - Step 2: Convert to fraction form
766/873 = 873/x - Step 3: Cross multiply
766x = 873 × 873 - Step 4: Simplify right side
766x = 762,129 - Step 5: Solve for x
x = 762,129/766 - Step 6: Final answer
x = 994.95
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.