Finding the Third Proportional to 506 and 544
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Solution
The third proportional to 506 and 544 is: 584.85
Step by Step Solution
- Step 1: Write the proportion equation
506 : 544 = 544 : x - Step 2: Convert to fraction form
506/544 = 544/x - Step 3: Cross multiply
506x = 544 × 544 - Step 4: Simplify right side
506x = 295,936 - Step 5: Solve for x
x = 295,936/506 - Step 6: Final answer
x = 584.85
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.