Finding the Third Proportional to 413 and 980
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Solution
The third proportional to 413 and 980 is: 2,325.42
Step by Step Solution
- Step 1: Write the proportion equation
413 : 980 = 980 : x - Step 2: Convert to fraction form
413/980 = 980/x - Step 3: Cross multiply
413x = 980 × 980 - Step 4: Simplify right side
413x = 960,400 - Step 5: Solve for x
x = 960,400/413 - Step 6: Final answer
x = 2,325.42
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.