Finding the Third Proportional to 226,290 and 478,824
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Solution
The third proportional to 226,290 and 478,824 is: 1,013,179.65
Step by Step Solution
- Step 1: Write the proportion equation
226,290 : 478,824 = 478,824 : x - Step 2: Convert to fraction form
226,290/478,824 = 478,824/x - Step 3: Cross multiply
226,290x = 478,824 × 478,824 - Step 4: Simplify right side
226,290x = 229,272,422,976 - Step 5: Solve for x
x = 229,272,422,976/226,290 - Step 6: Final answer
x = 1,013,179.65
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.