Finding the Third Proportional to 305,914 and 430,027
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Solution
The third proportional to 305,914 and 430,027 is: 604,494.14
Step by Step Solution
- Step 1: Write the proportion equation
305,914 : 430,027 = 430,027 : x - Step 2: Convert to fraction form
305,914/430,027 = 430,027/x - Step 3: Cross multiply
305,914x = 430,027 × 430,027 - Step 4: Simplify right side
305,914x = 184,923,220,729 - Step 5: Solve for x
x = 184,923,220,729/305,914 - Step 6: Final answer
x = 604,494.14
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.