Finding the Third Proportional to 219,208 and 478,996
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Solution
The third proportional to 219,208 and 478,996 is: 1,046,664.21
Step by Step Solution
- Step 1: Write the proportion equation
219,208 : 478,996 = 478,996 : x - Step 2: Convert to fraction form
219,208/478,996 = 478,996/x - Step 3: Cross multiply
219,208x = 478,996 × 478,996 - Step 4: Simplify right side
219,208x = 229,437,168,016 - Step 5: Solve for x
x = 229,437,168,016/219,208 - Step 6: Final answer
x = 1,046,664.21
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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.