Finding the Third Proportional to 495.75 and 743.25
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Solution
The third proportional to 495.75 and 743.25 is: 1,114.31
Step by Step Solution
- Step 1: Write the proportion equation
495.75 : 743.25 = 743.25 : x - Step 2: Convert to fraction form
495.75/743.25 = 743.25/x - Step 3: Cross multiply
495.75x = 743.25 × 743.25 - Step 4: Simplify right side
495.75x = 552,420.56 - Step 5: Solve for x
x = 552,420.56/495.75 - Step 6: Final answer
x = 1,114.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.