Finding the Third Proportional to 224,642 and 494,212
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Solution
The third proportional to 224,642 and 494,212 is: 1,087,265.52
Step by Step Solution
- Step 1: Write the proportion equation
224,642 : 494,212 = 494,212 : x - Step 2: Convert to fraction form
224,642/494,212 = 494,212/x - Step 3: Cross multiply
224,642x = 494,212 × 494,212 - Step 4: Simplify right side
224,642x = 244,245,500,944 - Step 5: Solve for x
x = 244,245,500,944/224,642 - Step 6: Final answer
x = 1,087,265.52
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.