Finding the Third Proportional to 271,878 and 587,502
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Solution
The third proportional to 271,878 and 587,502 is: 1,269,534.86
Step by Step Solution
- Step 1: Write the proportion equation
271,878 : 587,502 = 587,502 : x - Step 2: Convert to fraction form
271,878/587,502 = 587,502/x - Step 3: Cross multiply
271,878x = 587,502 × 587,502 - Step 4: Simplify right side
271,878x = 345,158,600,004 - Step 5: Solve for x
x = 345,158,600,004/271,878 - Step 6: Final answer
x = 1,269,534.86
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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.