Finding the Third Proportional to 413 and 465
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Solution
The third proportional to 413 and 465 is: 523.55
Step by Step Solution
- Step 1: Write the proportion equation
413 : 465 = 465 : x - Step 2: Convert to fraction form
413/465 = 465/x - Step 3: Cross multiply
413x = 465 × 465 - Step 4: Simplify right side
413x = 216,225 - Step 5: Solve for x
x = 216,225/413 - Step 6: Final answer
x = 523.55
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.