Finding the Third Proportional to 379,196 and 829,816
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Solution
The third proportional to 379,196 and 829,816 is: 1,815,933.17
Step by Step Solution
- Step 1: Write the proportion equation
379,196 : 829,816 = 829,816 : x - Step 2: Convert to fraction form
379,196/829,816 = 829,816/x - Step 3: Cross multiply
379,196x = 829,816 × 829,816 - Step 4: Simplify right side
379,196x = 688,594,593,856 - Step 5: Solve for x
x = 688,594,593,856/379,196 - Step 6: Final answer
x = 1,815,933.17
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.