Finding the Third Proportional to 227,886 and 498,678
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Solution
The third proportional to 227,886 and 498,678 is: 1,091,246.27
Step by Step Solution
- Step 1: Write the proportion equation
227,886 : 498,678 = 498,678 : x - Step 2: Convert to fraction form
227,886/498,678 = 498,678/x - Step 3: Cross multiply
227,886x = 498,678 × 498,678 - Step 4: Simplify right side
227,886x = 248,679,747,684 - Step 5: Solve for x
x = 248,679,747,684/227,886 - Step 6: Final answer
x = 1,091,246.27
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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.