Finding the Third Proportional to 214,854 and 463,872
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Solution
The third proportional to 214,854 and 463,872 is: 1,001,504.43
Step by Step Solution
- Step 1: Write the proportion equation
214,854 : 463,872 = 463,872 : x - Step 2: Convert to fraction form
214,854/463,872 = 463,872/x - Step 3: Cross multiply
214,854x = 463,872 × 463,872 - Step 4: Simplify right side
214,854x = 215,177,232,384 - Step 5: Solve for x
x = 215,177,232,384/214,854 - Step 6: Final answer
x = 1,001,504.43
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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.