Finding the Third Proportional to 524 and 874
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Solution
The third proportional to 524 and 874 is: 1,457.78
Step by Step Solution
- Step 1: Write the proportion equation
524 : 874 = 874 : x - Step 2: Convert to fraction form
524/874 = 874/x - Step 3: Cross multiply
524x = 874 × 874 - Step 4: Simplify right side
524x = 763,876 - Step 5: Solve for x
x = 763,876/524 - Step 6: Final answer
x = 1,457.78
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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.