Finding the Third Proportional to 227,736 and 499,824
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Solution
The third proportional to 227,736 and 499,824 is: 1,096,989.63
Step by Step Solution
- Step 1: Write the proportion equation
227,736 : 499,824 = 499,824 : x - Step 2: Convert to fraction form
227,736/499,824 = 499,824/x - Step 3: Cross multiply
227,736x = 499,824 × 499,824 - Step 4: Simplify right side
227,736x = 249,824,030,976 - Step 5: Solve for x
x = 249,824,030,976/227,736 - Step 6: Final answer
x = 1,096,989.63
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.