Finding the Third Proportional to 213,428 and 494,042
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Solution
The third proportional to 213,428 and 494,042 is: 1,143,605.80
Step by Step Solution
- Step 1: Write the proportion equation
213,428 : 494,042 = 494,042 : x - Step 2: Convert to fraction form
213,428/494,042 = 494,042/x - Step 3: Cross multiply
213,428x = 494,042 × 494,042 - Step 4: Simplify right side
213,428x = 244,077,497,764 - Step 5: Solve for x
x = 244,077,497,764/213,428 - Step 6: Final answer
x = 1,143,605.80
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.