Finding the Third Proportional to 260 and 572
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Solution
The third proportional to 260 and 572 is: 1,258.40
Step by Step Solution
- Step 1: Write the proportion equation
260 : 572 = 572 : x - Step 2: Convert to fraction form
260/572 = 572/x - Step 3: Cross multiply
260x = 572 × 572 - Step 4: Simplify right side
260x = 327,184 - Step 5: Solve for x
x = 327,184/260 - Step 6: Final answer
x = 1,258.40
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.