Finding the Third Proportional to 304,204 and 678,392
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Solution
The third proportional to 304,204 and 678,392 is: 1,512,852.25
Step by Step Solution
- Step 1: Write the proportion equation
304,204 : 678,392 = 678,392 : x - Step 2: Convert to fraction form
304,204/678,392 = 678,392/x - Step 3: Cross multiply
304,204x = 678,392 × 678,392 - Step 4: Simplify right side
304,204x = 460,215,705,664 - Step 5: Solve for x
x = 460,215,705,664/304,204 - Step 6: Final answer
x = 1,512,852.25
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.