Finding the Third Proportional to 540,824 and 840,736
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Solution
The third proportional to 540,824 and 840,736 is: 1,306,963.12
Step by Step Solution
- Step 1: Write the proportion equation
540,824 : 840,736 = 840,736 : x - Step 2: Convert to fraction form
540,824/840,736 = 840,736/x - Step 3: Cross multiply
540,824x = 840,736 × 840,736 - Step 4: Simplify right side
540,824x = 706,837,021,696 - Step 5: Solve for x
x = 706,837,021,696/540,824 - Step 6: Final answer
x = 1,306,963.12
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.