Finding the Third Proportional to 214,854 and 467,940
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Solution
The third proportional to 214,854 and 467,940 is: 1,019,147.16
Step by Step Solution
- Step 1: Write the proportion equation
214,854 : 467,940 = 467,940 : x - Step 2: Convert to fraction form
214,854/467,940 = 467,940/x - Step 3: Cross multiply
214,854x = 467,940 × 467,940 - Step 4: Simplify right side
214,854x = 218,967,843,600 - Step 5: Solve for x
x = 218,967,843,600/214,854 - Step 6: Final answer
x = 1,019,147.16
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.