Finding the Third Proportional to 213,268 and 493,718
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Solution
The third proportional to 213,268 and 493,718 is: 1,142,963.14
Step by Step Solution
- Step 1: Write the proportion equation
213,268 : 493,718 = 493,718 : x - Step 2: Convert to fraction form
213,268/493,718 = 493,718/x - Step 3: Cross multiply
213,268x = 493,718 × 493,718 - Step 4: Simplify right side
213,268x = 243,757,463,524 - Step 5: Solve for x
x = 243,757,463,524/213,268 - Step 6: Final answer
x = 1,142,963.14
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.