Finding the Third Proportional to 504 and 981
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Solution
The third proportional to 504 and 981 is: 1,909.45
Step by Step Solution
- Step 1: Write the proportion equation
504 : 981 = 981 : x - Step 2: Convert to fraction form
504/981 = 981/x - Step 3: Cross multiply
504x = 981 × 981 - Step 4: Simplify right side
504x = 962,361 - Step 5: Solve for x
x = 962,361/504 - Step 6: Final answer
x = 1,909.45
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.