Finding the Third Proportional to 565 and 974
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Solution
The third proportional to 565 and 974 is: 1,679.07
Step by Step Solution
- Step 1: Write the proportion equation
565 : 974 = 974 : x - Step 2: Convert to fraction form
565/974 = 974/x - Step 3: Cross multiply
565x = 974 × 974 - Step 4: Simplify right side
565x = 948,676 - Step 5: Solve for x
x = 948,676/565 - Step 6: Final answer
x = 1,679.07
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Why These Related Problems?
These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.