Finding the Third Proportional to 216,363 and 472,092
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Solution
The third proportional to 216,363 and 472,092 is: 1,030,078.42
Step by Step Solution
- Step 1: Write the proportion equation
216,363 : 472,092 = 472,092 : x - Step 2: Convert to fraction form
216,363/472,092 = 472,092/x - Step 3: Cross multiply
216,363x = 472,092 × 472,092 - Step 4: Simplify right side
216,363x = 222,870,856,464 - Step 5: Solve for x
x = 222,870,856,464/216,363 - Step 6: Final answer
x = 1,030,078.42
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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.