Finding the Third Proportional to 424 and 478
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Solution
The third proportional to 424 and 478 is: 538.88
Step by Step Solution
- Step 1: Write the proportion equation
424 : 478 = 478 : x - Step 2: Convert to fraction form
424/478 = 478/x - Step 3: Cross multiply
424x = 478 × 478 - Step 4: Simplify right side
424x = 228,484 - Step 5: Solve for x
x = 228,484/424 - Step 6: Final answer
x = 538.88
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.