Finding the Third Proportional to 402,464 and 852,896
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Solution
The third proportional to 402,464 and 852,896 is: 1,807,445.11
Step by Step Solution
- Step 1: Write the proportion equation
402,464 : 852,896 = 852,896 : x - Step 2: Convert to fraction form
402,464/852,896 = 852,896/x - Step 3: Cross multiply
402,464x = 852,896 × 852,896 - Step 4: Simplify right side
402,464x = 727,431,586,816 - Step 5: Solve for x
x = 727,431,586,816/402,464 - Step 6: Final answer
x = 1,807,445.11
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.