Finding the Third Proportional to 505.50 and 800.75
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Solution
The third proportional to 505.50 and 800.75 is: 1,268.45
Step by Step Solution
- Step 1: Write the proportion equation
505.50 : 800.75 = 800.75 : x - Step 2: Convert to fraction form
505.50/800.75 = 800.75/x - Step 3: Cross multiply
505.50x = 800.75 × 800.75 - Step 4: Simplify right side
505.50x = 641,200.56 - Step 5: Solve for x
x = 641,200.56/505.50 - Step 6: Final answer
x = 1,268.45
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.