Finding the Third Proportional to 271,322 and 582,011
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Solution
The third proportional to 271,322 and 582,011 is: 1,248,467.89
Step by Step Solution
- Step 1: Write the proportion equation
271,322 : 582,011 = 582,011 : x - Step 2: Convert to fraction form
271,322/582,011 = 582,011/x - Step 3: Cross multiply
271,322x = 582,011 × 582,011 - Step 4: Simplify right side
271,322x = 338,736,804,121 - Step 5: Solve for x
x = 338,736,804,121/271,322 - Step 6: Final answer
x = 1,248,467.89
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.