Finding the Third Proportional to 456 and 600
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Solution
The third proportional to 456 and 600 is: 789.47
Step by Step Solution
- Step 1: Write the proportion equation
456 : 600 = 600 : x - Step 2: Convert to fraction form
456/600 = 600/x - Step 3: Cross multiply
456x = 600 × 600 - Step 4: Simplify right side
456x = 360,000 - Step 5: Solve for x
x = 360,000/456 - Step 6: Final answer
x = 789.47
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.