Finding the Third Proportional to 212,496 and 457,784
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Solution
The third proportional to 212,496 and 457,784 is: 986,212.40
Step by Step Solution
- Step 1: Write the proportion equation
212,496 : 457,784 = 457,784 : x - Step 2: Convert to fraction form
212,496/457,784 = 457,784/x - Step 3: Cross multiply
212,496x = 457,784 × 457,784 - Step 4: Simplify right side
212,496x = 209,566,190,656 - Step 5: Solve for x
x = 209,566,190,656/212,496 - Step 6: Final answer
x = 986,212.40
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.