Finding the Third Proportional to 734.34 and 1,073.67
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Solution
The third proportional to 734.34 and 1,073.67 is: 1,569.80
Step by Step Solution
- Step 1: Write the proportion equation
734.34 : 1,073.67 = 1,073.67 : x - Step 2: Convert to fraction form
734.34/1,073.67 = 1,073.67/x - Step 3: Cross multiply
734.34x = 1,073.67 × 1,073.67 - Step 4: Simplify right side
734.34x = 1,152,771.30 - Step 5: Solve for x
x = 1,152,771.30/734.34 - Step 6: Final answer
x = 1,569.80
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.