Finding the Third Proportional to 256,493 and 440,097
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Solution
The third proportional to 256,493 and 440,097 is: 755,129.26
Step by Step Solution
- Step 1: Write the proportion equation
256,493 : 440,097 = 440,097 : x - Step 2: Convert to fraction form
256,493/440,097 = 440,097/x - Step 3: Cross multiply
256,493x = 440,097 × 440,097 - Step 4: Simplify right side
256,493x = 193,685,369,409 - Step 5: Solve for x
x = 193,685,369,409/256,493 - Step 6: Final answer
x = 755,129.26
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.