Finding the Third Proportional to 235,584 and 511,308
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Solution
The third proportional to 235,584 and 511,308 is: 1,109,735.26
Step by Step Solution
- Step 1: Write the proportion equation
235,584 : 511,308 = 511,308 : x - Step 2: Convert to fraction form
235,584/511,308 = 511,308/x - Step 3: Cross multiply
235,584x = 511,308 × 511,308 - Step 4: Simplify right side
235,584x = 261,435,870,864 - Step 5: Solve for x
x = 261,435,870,864/235,584 - Step 6: Final answer
x = 1,109,735.26
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.