Finding the Third Proportional to 513 and 654
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Solution
The third proportional to 513 and 654 is: 833.75
Step by Step Solution
- Step 1: Write the proportion equation
513 : 654 = 654 : x - Step 2: Convert to fraction form
513/654 = 654/x - Step 3: Cross multiply
513x = 654 × 654 - Step 4: Simplify right side
513x = 427,716 - Step 5: Solve for x
x = 427,716/513 - Step 6: Final answer
x = 833.75
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.