Finding the Third Proportional to 509.50 and 852
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Solution
The third proportional to 509.50 and 852 is: 1,424.74
Step by Step Solution
- Step 1: Write the proportion equation
509.50 : 852 = 852 : x - Step 2: Convert to fraction form
509.50/852 = 852/x - Step 3: Cross multiply
509.50x = 852 × 852 - Step 4: Simplify right side
509.50x = 725,904 - Step 5: Solve for x
x = 725,904/509.50 - Step 6: Final answer
x = 1,424.74
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.