Finding the Third Proportional to 271,275 and 589,251
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Solution
The third proportional to 271,275 and 589,251 is: 1,279,943.75
Step by Step Solution
- Step 1: Write the proportion equation
271,275 : 589,251 = 589,251 : x - Step 2: Convert to fraction form
271,275/589,251 = 589,251/x - Step 3: Cross multiply
271,275x = 589,251 × 589,251 - Step 4: Simplify right side
271,275x = 347,216,741,001 - Step 5: Solve for x
x = 347,216,741,001/271,275 - Step 6: Final answer
x = 1,279,943.75
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.