Finding the Third Proportional to 263,700 and 408,656
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Solution
The third proportional to 263,700 and 408,656 is: 633,294.37
Step by Step Solution
- Step 1: Write the proportion equation
263,700 : 408,656 = 408,656 : x - Step 2: Convert to fraction form
263,700/408,656 = 408,656/x - Step 3: Cross multiply
263,700x = 408,656 × 408,656 - Step 4: Simplify right side
263,700x = 166,999,726,336 - Step 5: Solve for x
x = 166,999,726,336/263,700 - Step 6: Final answer
x = 633,294.37
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.