Finding the Third Proportional to 533,424 and 825,696
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Solution
The third proportional to 533,424 and 825,696 is: 1,278,108.75
Step by Step Solution
- Step 1: Write the proportion equation
533,424 : 825,696 = 825,696 : x - Step 2: Convert to fraction form
533,424/825,696 = 825,696/x - Step 3: Cross multiply
533,424x = 825,696 × 825,696 - Step 4: Simplify right side
533,424x = 681,773,884,416 - Step 5: Solve for x
x = 681,773,884,416/533,424 - Step 6: Final answer
x = 1,278,108.75
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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.