Finding the Third Proportional to 386,390 and 829,911
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Solution
The third proportional to 386,390 and 829,911 is: 1,782,531.30
Step by Step Solution
- Step 1: Write the proportion equation
386,390 : 829,911 = 829,911 : x - Step 2: Convert to fraction form
386,390/829,911 = 829,911/x - Step 3: Cross multiply
386,390x = 829,911 × 829,911 - Step 4: Simplify right side
386,390x = 688,752,267,921 - Step 5: Solve for x
x = 688,752,267,921/386,390 - Step 6: Final answer
x = 1,782,531.30
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.