Finding the Third Proportional to 265,984 and 582,016
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Solution
The third proportional to 265,984 and 582,016 is: 1,273,545.12
Step by Step Solution
- Step 1: Write the proportion equation
265,984 : 582,016 = 582,016 : x - Step 2: Convert to fraction form
265,984/582,016 = 582,016/x - Step 3: Cross multiply
265,984x = 582,016 × 582,016 - Step 4: Simplify right side
265,984x = 338,742,624,256 - Step 5: Solve for x
x = 338,742,624,256/265,984 - Step 6: Final answer
x = 1,273,545.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.