Finding the Third Proportional to 271,585 and 597,314
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Solution
The third proportional to 271,585 and 597,314 is: 1,313,710.31
Step by Step Solution
- Step 1: Write the proportion equation
271,585 : 597,314 = 597,314 : x - Step 2: Convert to fraction form
271,585/597,314 = 597,314/x - Step 3: Cross multiply
271,585x = 597,314 × 597,314 - Step 4: Simplify right side
271,585x = 356,784,014,596 - Step 5: Solve for x
x = 356,784,014,596/271,585 - Step 6: Final answer
x = 1,313,710.31
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.