Finding the Third Proportional to 456 and 614
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Solution
The third proportional to 456 and 614 is: 826.75
Step by Step Solution
- Step 1: Write the proportion equation
456 : 614 = 614 : x - Step 2: Convert to fraction form
456/614 = 614/x - Step 3: Cross multiply
456x = 614 × 614 - Step 4: Simplify right side
456x = 376,996 - Step 5: Solve for x
x = 376,996/456 - Step 6: Final answer
x = 826.75
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.