Finding the Third Proportional to 342,304 and 763,314
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Solution
The third proportional to 342,304 and 763,314 is: 1,702,136.88
Step by Step Solution
- Step 1: Write the proportion equation
342,304 : 763,314 = 763,314 : x - Step 2: Convert to fraction form
342,304/763,314 = 763,314/x - Step 3: Cross multiply
342,304x = 763,314 × 763,314 - Step 4: Simplify right side
342,304x = 582,648,262,596 - Step 5: Solve for x
x = 582,648,262,596/342,304 - Step 6: Final answer
x = 1,702,136.88
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.