Finding the Third Proportional to 220,896 and 480,456
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Solution
The third proportional to 220,896 and 480,456 is: 1,045,007.46
Step by Step Solution
- Step 1: Write the proportion equation
220,896 : 480,456 = 480,456 : x - Step 2: Convert to fraction form
220,896/480,456 = 480,456/x - Step 3: Cross multiply
220,896x = 480,456 × 480,456 - Step 4: Simplify right side
220,896x = 230,837,967,936 - Step 5: Solve for x
x = 230,837,967,936/220,896 - Step 6: Final answer
x = 1,045,007.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.