Finding the Third Proportional to 398.50 and 485.50
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Solution
The third proportional to 398.50 and 485.50 is: 591.49
Step by Step Solution
- Step 1: Write the proportion equation
398.50 : 485.50 = 485.50 : x - Step 2: Convert to fraction form
398.50/485.50 = 485.50/x - Step 3: Cross multiply
398.50x = 485.50 × 485.50 - Step 4: Simplify right side
398.50x = 235,710.25 - Step 5: Solve for x
x = 235,710.25/398.50 - Step 6: Final answer
x = 591.49
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.