Finding the Third Proportional to 208,476 and 491,646
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Solution
The third proportional to 208,476 and 491,646 is: 1,159,441.80
Step by Step Solution
- Step 1: Write the proportion equation
208,476 : 491,646 = 491,646 : x - Step 2: Convert to fraction form
208,476/491,646 = 491,646/x - Step 3: Cross multiply
208,476x = 491,646 × 491,646 - Step 4: Simplify right side
208,476x = 241,715,789,316 - Step 5: Solve for x
x = 241,715,789,316/208,476 - Step 6: Final answer
x = 1,159,441.80
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.