Finding the Third Proportional to 677 and 1,244
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Solution
The third proportional to 677 and 1,244 is: 2,285.87
Step by Step Solution
- Step 1: Write the proportion equation
677 : 1,244 = 1,244 : x - Step 2: Convert to fraction form
677/1,244 = 1,244/x - Step 3: Cross multiply
677x = 1,244 × 1,244 - Step 4: Simplify right side
677x = 1,547,536 - Step 5: Solve for x
x = 1,547,536/677 - Step 6: Final answer
x = 2,285.87
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.