Finding the Third Proportional to 560 and 974
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Solution
The third proportional to 560 and 974 is: 1,694.06
Step by Step Solution
- Step 1: Write the proportion equation
560 : 974 = 974 : x - Step 2: Convert to fraction form
560/974 = 974/x - Step 3: Cross multiply
560x = 974 × 974 - Step 4: Simplify right side
560x = 948,676 - Step 5: Solve for x
x = 948,676/560 - Step 6: Final answer
x = 1,694.06
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Why These Related Problems?
These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.