Finding the Third Proportional to 427 and 458.50
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Solution
The third proportional to 427 and 458.50 is: 492.32
Step by Step Solution
- Step 1: Write the proportion equation
427 : 458.50 = 458.50 : x - Step 2: Convert to fraction form
427/458.50 = 458.50/x - Step 3: Cross multiply
427x = 458.50 × 458.50 - Step 4: Simplify right side
427x = 210,222.25 - Step 5: Solve for x
x = 210,222.25/427 - Step 6: Final answer
x = 492.32
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.