Finding the Third Proportional to 221,738 and 474,976
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Solution
The third proportional to 221,738 and 474,976 is: 1,017,426.88
Step by Step Solution
- Step 1: Write the proportion equation
221,738 : 474,976 = 474,976 : x - Step 2: Convert to fraction form
221,738/474,976 = 474,976/x - Step 3: Cross multiply
221,738x = 474,976 × 474,976 - Step 4: Simplify right side
221,738x = 225,602,200,576 - Step 5: Solve for x
x = 225,602,200,576/221,738 - Step 6: Final answer
x = 1,017,426.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.