Finding the Third Proportional to 269,984 and 429,088
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Solution
The third proportional to 269,984 and 429,088 is: 681,953.42
Step by Step Solution
- Step 1: Write the proportion equation
269,984 : 429,088 = 429,088 : x - Step 2: Convert to fraction form
269,984/429,088 = 429,088/x - Step 3: Cross multiply
269,984x = 429,088 × 429,088 - Step 4: Simplify right side
269,984x = 184,116,511,744 - Step 5: Solve for x
x = 184,116,511,744/269,984 - Step 6: Final answer
x = 681,953.42
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.