Finding the Third Proportional to 289,888 and 422,236
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Solution
The third proportional to 289,888 and 422,236 is: 615,007.31
Step by Step Solution
- Step 1: Write the proportion equation
289,888 : 422,236 = 422,236 : x - Step 2: Convert to fraction form
289,888/422,236 = 422,236/x - Step 3: Cross multiply
289,888x = 422,236 × 422,236 - Step 4: Simplify right side
289,888x = 178,283,239,696 - Step 5: Solve for x
x = 178,283,239,696/289,888 - Step 6: Final answer
x = 615,007.31
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.