Finding the Third Proportional to 232,022 and 508,864
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Solution
The third proportional to 232,022 and 508,864 is: 1,116,025.94
Step by Step Solution
- Step 1: Write the proportion equation
232,022 : 508,864 = 508,864 : x - Step 2: Convert to fraction form
232,022/508,864 = 508,864/x - Step 3: Cross multiply
232,022x = 508,864 × 508,864 - Step 4: Simplify right side
232,022x = 258,942,570,496 - Step 5: Solve for x
x = 258,942,570,496/232,022 - Step 6: Final answer
x = 1,116,025.94
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.