Finding the Third Proportional to 263,897 and 569,266
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Solution
The third proportional to 263,897 and 569,266 is: 1,227,993.42
Step by Step Solution
- Step 1: Write the proportion equation
263,897 : 569,266 = 569,266 : x - Step 2: Convert to fraction form
263,897/569,266 = 569,266/x - Step 3: Cross multiply
263,897x = 569,266 × 569,266 - Step 4: Simplify right side
263,897x = 324,063,778,756 - Step 5: Solve for x
x = 324,063,778,756/263,897 - Step 6: Final answer
x = 1,227,993.42
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.