Finding the Third Proportional to 199,627 and 408,567
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Solution
The third proportional to 199,627 and 408,567 is: 836,194.47
Step by Step Solution
- Step 1: Write the proportion equation
199,627 : 408,567 = 408,567 : x - Step 2: Convert to fraction form
199,627/408,567 = 408,567/x - Step 3: Cross multiply
199,627x = 408,567 × 408,567 - Step 4: Simplify right side
199,627x = 166,926,993,489 - Step 5: Solve for x
x = 166,926,993,489/199,627 - Step 6: Final answer
x = 836,194.47
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.