Finding the Third Proportional to 513 and 543
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Solution
The third proportional to 513 and 543 is: 574.75
Step by Step Solution
- Step 1: Write the proportion equation
513 : 543 = 543 : x - Step 2: Convert to fraction form
513/543 = 543/x - Step 3: Cross multiply
513x = 543 × 543 - Step 4: Simplify right side
513x = 294,849 - Step 5: Solve for x
x = 294,849/513 - Step 6: Final answer
x = 574.75
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.