Finding the Third Proportional to 257,469 and 384,741
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Solution
The third proportional to 257,469 and 384,741 is: 574,926.06
Step by Step Solution
- Step 1: Write the proportion equation
257,469 : 384,741 = 384,741 : x - Step 2: Convert to fraction form
257,469/384,741 = 384,741/x - Step 3: Cross multiply
257,469x = 384,741 × 384,741 - Step 4: Simplify right side
257,469x = 148,025,637,081 - Step 5: Solve for x
x = 148,025,637,081/257,469 - Step 6: Final answer
x = 574,926.06
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.