Finding the Third Proportional to 267,723 and 582,102
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Solution
The third proportional to 267,723 and 582,102 is: 1,265,646.73
Step by Step Solution
- Step 1: Write the proportion equation
267,723 : 582,102 = 582,102 : x - Step 2: Convert to fraction form
267,723/582,102 = 582,102/x - Step 3: Cross multiply
267,723x = 582,102 × 582,102 - Step 4: Simplify right side
267,723x = 338,842,738,404 - Step 5: Solve for x
x = 338,842,738,404/267,723 - Step 6: Final answer
x = 1,265,646.73
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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.