Finding the Third Proportional to 463 and 752
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Solution
The third proportional to 463 and 752 is: 1,221.39
Step by Step Solution
- Step 1: Write the proportion equation
463 : 752 = 752 : x - Step 2: Convert to fraction form
463/752 = 752/x - Step 3: Cross multiply
463x = 752 × 752 - Step 4: Simplify right side
463x = 565,504 - Step 5: Solve for x
x = 565,504/463 - Step 6: Final answer
x = 1,221.39
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.