Finding the Third Proportional to 465 and 842
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Solution
The third proportional to 465 and 842 is: 1,524.65
Step by Step Solution
- Step 1: Write the proportion equation
465 : 842 = 842 : x - Step 2: Convert to fraction form
465/842 = 842/x - Step 3: Cross multiply
465x = 842 × 842 - Step 4: Simplify right side
465x = 708,964 - Step 5: Solve for x
x = 708,964/465 - Step 6: Final answer
x = 1,524.65
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.