Finding the Third Proportional to 258,042 and 398,727
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Solution
The third proportional to 258,042 and 398,727 is: 616,113.74
Step by Step Solution
- Step 1: Write the proportion equation
258,042 : 398,727 = 398,727 : x - Step 2: Convert to fraction form
258,042/398,727 = 398,727/x - Step 3: Cross multiply
258,042x = 398,727 × 398,727 - Step 4: Simplify right side
258,042x = 158,983,220,529 - Step 5: Solve for x
x = 158,983,220,529/258,042 - Step 6: Final answer
x = 616,113.74
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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.