Finding the Third Proportional to 205,864 and 446,544
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Solution
The third proportional to 205,864 and 446,544 is: 968,608.13
Step by Step Solution
- Step 1: Write the proportion equation
205,864 : 446,544 = 446,544 : x - Step 2: Convert to fraction form
205,864/446,544 = 446,544/x - Step 3: Cross multiply
205,864x = 446,544 × 446,544 - Step 4: Simplify right side
205,864x = 199,401,543,936 - Step 5: Solve for x
x = 199,401,543,936/205,864 - Step 6: Final answer
x = 968,608.13
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.