Finding the Third Proportional to 233,770 and 511,280
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Solution
The third proportional to 233,770 and 511,280 is: 1,118,224.06
Step by Step Solution
- Step 1: Write the proportion equation
233,770 : 511,280 = 511,280 : x - Step 2: Convert to fraction form
233,770/511,280 = 511,280/x - Step 3: Cross multiply
233,770x = 511,280 × 511,280 - Step 4: Simplify right side
233,770x = 261,407,238,400 - Step 5: Solve for x
x = 261,407,238,400/233,770 - Step 6: Final answer
x = 1,118,224.06
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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.