Finding the Third Proportional to 243,492 and 493,680
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Solution
The third proportional to 243,492 and 493,680 is: 1,000,936.14
Step by Step Solution
- Step 1: Write the proportion equation
243,492 : 493,680 = 493,680 : x - Step 2: Convert to fraction form
243,492/493,680 = 493,680/x - Step 3: Cross multiply
243,492x = 493,680 × 493,680 - Step 4: Simplify right side
243,492x = 243,719,942,400 - Step 5: Solve for x
x = 243,719,942,400/243,492 - Step 6: Final answer
x = 1,000,936.14
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.