Finding the Third Proportional to 285,527 and 401,728
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Solution
The third proportional to 285,527 and 401,728 is: 565,219.35
Step by Step Solution
- Step 1: Write the proportion equation
285,527 : 401,728 = 401,728 : x - Step 2: Convert to fraction form
285,527/401,728 = 401,728/x - Step 3: Cross multiply
285,527x = 401,728 × 401,728 - Step 4: Simplify right side
285,527x = 161,385,385,984 - Step 5: Solve for x
x = 161,385,385,984/285,527 - Step 6: Final answer
x = 565,219.35
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.