Finding the Third Proportional to 276 and 714
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Solution
The third proportional to 276 and 714 is: 1,847.09
Step by Step Solution
- Step 1: Write the proportion equation
276 : 714 = 714 : x - Step 2: Convert to fraction form
276/714 = 714/x - Step 3: Cross multiply
276x = 714 × 714 - Step 4: Simplify right side
276x = 509,796 - Step 5: Solve for x
x = 509,796/276 - Step 6: Final answer
x = 1,847.09
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These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.