Finding the Third Proportional to 232,054 and 506,716
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Solution
The third proportional to 232,054 and 506,716 is: 1,106,471.36
Step by Step Solution
- Step 1: Write the proportion equation
232,054 : 506,716 = 506,716 : x - Step 2: Convert to fraction form
232,054/506,716 = 506,716/x - Step 3: Cross multiply
232,054x = 506,716 × 506,716 - Step 4: Simplify right side
232,054x = 256,761,104,656 - Step 5: Solve for x
x = 256,761,104,656/232,054 - Step 6: Final answer
x = 1,106,471.36
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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.