Finding the Third Proportional to 231,828 and 536,721
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Solution
The third proportional to 231,828 and 536,721 is: 1,242,599.82
Step by Step Solution
- Step 1: Write the proportion equation
231,828 : 536,721 = 536,721 : x - Step 2: Convert to fraction form
231,828/536,721 = 536,721/x - Step 3: Cross multiply
231,828x = 536,721 × 536,721 - Step 4: Simplify right side
231,828x = 288,069,431,841 - Step 5: Solve for x
x = 288,069,431,841/231,828 - Step 6: Final answer
x = 1,242,599.82
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.