Finding the Third Proportional to 509 and 986
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Solution
The third proportional to 509 and 986 is: 1,910.01
Step by Step Solution
- Step 1: Write the proportion equation
509 : 986 = 986 : x - Step 2: Convert to fraction form
509/986 = 986/x - Step 3: Cross multiply
509x = 986 × 986 - Step 4: Simplify right side
509x = 972,196 - Step 5: Solve for x
x = 972,196/509 - Step 6: Final answer
x = 1,910.01
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.