Finding the Third Proportional to 506 and 900
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Solution
The third proportional to 506 and 900 is: 1,600.79
Step by Step Solution
- Step 1: Write the proportion equation
506 : 900 = 900 : x - Step 2: Convert to fraction form
506/900 = 900/x - Step 3: Cross multiply
506x = 900 × 900 - Step 4: Simplify right side
506x = 810,000 - Step 5: Solve for x
x = 810,000/506 - Step 6: Final answer
x = 1,600.79
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.