Finding the Third Proportional to 282,528 and 401,652
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Solution
The third proportional to 282,528 and 401,652 is: 571,002.98
Step by Step Solution
- Step 1: Write the proportion equation
282,528 : 401,652 = 401,652 : x - Step 2: Convert to fraction form
282,528/401,652 = 401,652/x - Step 3: Cross multiply
282,528x = 401,652 × 401,652 - Step 4: Simplify right side
282,528x = 161,324,329,104 - Step 5: Solve for x
x = 161,324,329,104/282,528 - Step 6: Final answer
x = 571,002.98
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.