Finding the Third Proportional to 638 and 1,207
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Solution
The third proportional to 638 and 1,207 is: 2,283.46
Step by Step Solution
- Step 1: Write the proportion equation
638 : 1,207 = 1,207 : x - Step 2: Convert to fraction form
638/1,207 = 1,207/x - Step 3: Cross multiply
638x = 1,207 × 1,207 - Step 4: Simplify right side
638x = 1,456,849 - Step 5: Solve for x
x = 1,456,849/638 - Step 6: Final answer
x = 2,283.46
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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.