Finding the Third Proportional to 724 and 783
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Solution
The third proportional to 724 and 783 is: 846.81
Step by Step Solution
- Step 1: Write the proportion equation
724 : 783 = 783 : x - Step 2: Convert to fraction form
724/783 = 783/x - Step 3: Cross multiply
724x = 783 × 783 - Step 4: Simplify right side
724x = 613,089 - Step 5: Solve for x
x = 613,089/724 - Step 6: Final answer
x = 846.81
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.