Finding the Third Proportional to 259 and 617
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Solution
The third proportional to 259 and 617 is: 1,469.84
Step by Step Solution
- Step 1: Write the proportion equation
259 : 617 = 617 : x - Step 2: Convert to fraction form
259/617 = 617/x - Step 3: Cross multiply
259x = 617 × 617 - Step 4: Simplify right side
259x = 380,689 - Step 5: Solve for x
x = 380,689/259 - Step 6: Final answer
x = 1,469.84
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.