Finding the Third Proportional to 233,300 and 511,798
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Solution
The third proportional to 233,300 and 511,798 is: 1,122,748.36
Step by Step Solution
- Step 1: Write the proportion equation
233,300 : 511,798 = 511,798 : x - Step 2: Convert to fraction form
233,300/511,798 = 511,798/x - Step 3: Cross multiply
233,300x = 511,798 × 511,798 - Step 4: Simplify right side
233,300x = 261,937,192,804 - Step 5: Solve for x
x = 261,937,192,804/233,300 - Step 6: Final answer
x = 1,122,748.36
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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.