Finding the Third Proportional to 447 and 986
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Solution
The third proportional to 447 and 986 is: 2,174.94
Step by Step Solution
- Step 1: Write the proportion equation
447 : 986 = 986 : x - Step 2: Convert to fraction form
447/986 = 986/x - Step 3: Cross multiply
447x = 986 × 986 - Step 4: Simplify right side
447x = 972,196 - Step 5: Solve for x
x = 972,196/447 - Step 6: Final answer
x = 2,174.94
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.