Finding the Third Proportional to 257,924 and 365,286
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Solution
The third proportional to 257,924 and 365,286 is: 517,337.90
Step by Step Solution
- Step 1: Write the proportion equation
257,924 : 365,286 = 365,286 : x - Step 2: Convert to fraction form
257,924/365,286 = 365,286/x - Step 3: Cross multiply
257,924x = 365,286 × 365,286 - Step 4: Simplify right side
257,924x = 133,433,861,796 - Step 5: Solve for x
x = 133,433,861,796/257,924 - Step 6: Final answer
x = 517,337.90
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.