Finding the Third Proportional to 265,684 and 398,814
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Solution
The third proportional to 265,684 and 398,814 is: 598,653.31
Step by Step Solution
- Step 1: Write the proportion equation
265,684 : 398,814 = 398,814 : x - Step 2: Convert to fraction form
265,684/398,814 = 398,814/x - Step 3: Cross multiply
265,684x = 398,814 × 398,814 - Step 4: Simplify right side
265,684x = 159,052,606,596 - Step 5: Solve for x
x = 159,052,606,596/265,684 - Step 6: Final answer
x = 598,653.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.