Finding the Third Proportional to 214,414 and 457,304
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Solution
The third proportional to 214,414 and 457,304 is: 975,341.85
Step by Step Solution
- Step 1: Write the proportion equation
214,414 : 457,304 = 457,304 : x - Step 2: Convert to fraction form
214,414/457,304 = 457,304/x - Step 3: Cross multiply
214,414x = 457,304 × 457,304 - Step 4: Simplify right side
214,414x = 209,126,948,416 - Step 5: Solve for x
x = 209,126,948,416/214,414 - Step 6: Final answer
x = 975,341.85
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.