Finding the Third Proportional to 205,019 and 443,734
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Solution
The third proportional to 205,019 and 443,734 is: 960,398.12
Step by Step Solution
- Step 1: Write the proportion equation
205,019 : 443,734 = 443,734 : x - Step 2: Convert to fraction form
205,019/443,734 = 443,734/x - Step 3: Cross multiply
205,019x = 443,734 × 443,734 - Step 4: Simplify right side
205,019x = 196,899,862,756 - Step 5: Solve for x
x = 196,899,862,756/205,019 - Step 6: Final answer
x = 960,398.12
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.