Finding the Third Proportional to 232,984 and 496,492
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Solution
The third proportional to 232,984 and 496,492 is: 1,058,031.05
Step by Step Solution
- Step 1: Write the proportion equation
232,984 : 496,492 = 496,492 : x - Step 2: Convert to fraction form
232,984/496,492 = 496,492/x - Step 3: Cross multiply
232,984x = 496,492 × 496,492 - Step 4: Simplify right side
232,984x = 246,504,306,064 - Step 5: Solve for x
x = 246,504,306,064/232,984 - Step 6: Final answer
x = 1,058,031.05
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.