Finding the Third Proportional to 257,910 and 394,497
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Solution
The third proportional to 257,910 and 394,497 is: 603,419.34
Step by Step Solution
- Step 1: Write the proportion equation
257,910 : 394,497 = 394,497 : x - Step 2: Convert to fraction form
257,910/394,497 = 394,497/x - Step 3: Cross multiply
257,910x = 394,497 × 394,497 - Step 4: Simplify right side
257,910x = 155,627,883,009 - Step 5: Solve for x
x = 155,627,883,009/257,910 - Step 6: Final answer
x = 603,419.34
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.