Finding the Third Proportional to 227,348 and 478,264
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Solution
The third proportional to 227,348 and 478,264 is: 1,006,107.17
Step by Step Solution
- Step 1: Write the proportion equation
227,348 : 478,264 = 478,264 : x - Step 2: Convert to fraction form
227,348/478,264 = 478,264/x - Step 3: Cross multiply
227,348x = 478,264 × 478,264 - Step 4: Simplify right side
227,348x = 228,736,453,696 - Step 5: Solve for x
x = 228,736,453,696/227,348 - Step 6: Final answer
x = 1,006,107.17
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.