Finding the Third Proportional to 756 and 997.50
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Solution
The third proportional to 756 and 997.50 is: 1,316.15
Step by Step Solution
- Step 1: Write the proportion equation
756 : 997.50 = 997.50 : x - Step 2: Convert to fraction form
756/997.50 = 997.50/x - Step 3: Cross multiply
756x = 997.50 × 997.50 - Step 4: Simplify right side
756x = 995,006.25 - Step 5: Solve for x
x = 995,006.25/756 - Step 6: Final answer
x = 1,316.15
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.