Finding the Third Proportional to 546 and 651
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Solution
The third proportional to 546 and 651 is: 776.19
Step by Step Solution
- Step 1: Write the proportion equation
546 : 651 = 651 : x - Step 2: Convert to fraction form
546/651 = 651/x - Step 3: Cross multiply
546x = 651 × 651 - Step 4: Simplify right side
546x = 423,801 - Step 5: Solve for x
x = 423,801/546 - Step 6: Final answer
x = 776.19
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.