Finding the Third Proportional to 500 and 531
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Solution
The third proportional to 500 and 531 is: 563.92
Step by Step Solution
- Step 1: Write the proportion equation
500 : 531 = 531 : x - Step 2: Convert to fraction form
500/531 = 531/x - Step 3: Cross multiply
500x = 531 × 531 - Step 4: Simplify right side
500x = 281,961 - Step 5: Solve for x
x = 281,961/500 - Step 6: Final answer
x = 563.92
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.