Finding the Third Proportional to 220,912 and 472,784
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Solution
The third proportional to 220,912 and 472,784 is: 1,011,826.93
Step by Step Solution
- Step 1: Write the proportion equation
220,912 : 472,784 = 472,784 : x - Step 2: Convert to fraction form
220,912/472,784 = 472,784/x - Step 3: Cross multiply
220,912x = 472,784 × 472,784 - Step 4: Simplify right side
220,912x = 223,524,710,656 - Step 5: Solve for x
x = 223,524,710,656/220,912 - Step 6: Final answer
x = 1,011,826.93
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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.