Finding the Third Proportional to 420 and 612
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Solution
The third proportional to 420 and 612 is: 891.77
Step by Step Solution
- Step 1: Write the proportion equation
420 : 612 = 612 : x - Step 2: Convert to fraction form
420/612 = 612/x - Step 3: Cross multiply
420x = 612 × 612 - Step 4: Simplify right side
420x = 374,544 - Step 5: Solve for x
x = 374,544/420 - Step 6: Final answer
x = 891.77
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.