Finding the Third Proportional to 257,538 and 398,766
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Solution
The third proportional to 257,538 and 398,766 is: 617,440.23
Step by Step Solution
- Step 1: Write the proportion equation
257,538 : 398,766 = 398,766 : x - Step 2: Convert to fraction form
257,538/398,766 = 398,766/x - Step 3: Cross multiply
257,538x = 398,766 × 398,766 - Step 4: Simplify right side
257,538x = 159,014,322,756 - Step 5: Solve for x
x = 159,014,322,756/257,538 - Step 6: Final answer
x = 617,440.23
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.