Finding the Third Proportional to 233,776 and 511,291
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Solution
The third proportional to 233,776 and 511,291 is: 1,118,243.48
Step by Step Solution
- Step 1: Write the proportion equation
233,776 : 511,291 = 511,291 : x - Step 2: Convert to fraction form
233,776/511,291 = 511,291/x - Step 3: Cross multiply
233,776x = 511,291 × 511,291 - Step 4: Simplify right side
233,776x = 261,418,486,681 - Step 5: Solve for x
x = 261,418,486,681/233,776 - Step 6: Final answer
x = 1,118,243.48
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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.