Finding the Third Proportional to 402 and 454.50
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Solution
The third proportional to 402 and 454.50 is: 513.86
Step by Step Solution
- Step 1: Write the proportion equation
402 : 454.50 = 454.50 : x - Step 2: Convert to fraction form
402/454.50 = 454.50/x - Step 3: Cross multiply
402x = 454.50 × 454.50 - Step 4: Simplify right side
402x = 206,570.25 - Step 5: Solve for x
x = 206,570.25/402 - Step 6: Final answer
x = 513.86
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.