Finding the Third Proportional to 500 and 746.50
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Solution
The third proportional to 500 and 746.50 is: 1,114.52
Step by Step Solution
- Step 1: Write the proportion equation
500 : 746.50 = 746.50 : x - Step 2: Convert to fraction form
500/746.50 = 746.50/x - Step 3: Cross multiply
500x = 746.50 × 746.50 - Step 4: Simplify right side
500x = 557,262.25 - Step 5: Solve for x
x = 557,262.25/500 - Step 6: Final answer
x = 1,114.52
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.