Finding the Third Proportional to 215,824 and 474,476
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Solution
The third proportional to 215,824 and 474,476 is: 1,043,106.77
Step by Step Solution
- Step 1: Write the proportion equation
215,824 : 474,476 = 474,476 : x - Step 2: Convert to fraction form
215,824/474,476 = 474,476/x - Step 3: Cross multiply
215,824x = 474,476 × 474,476 - Step 4: Simplify right side
215,824x = 225,127,474,576 - Step 5: Solve for x
x = 225,127,474,576/215,824 - Step 6: Final answer
x = 1,043,106.77
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.