Finding the Third Proportional to 546 and 1,332
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Solution
The third proportional to 546 and 1,332 is: 3,249.49
Step by Step Solution
- Step 1: Write the proportion equation
546 : 1,332 = 1,332 : x - Step 2: Convert to fraction form
546/1,332 = 1,332/x - Step 3: Cross multiply
546x = 1,332 × 1,332 - Step 4: Simplify right side
546x = 1,774,224 - Step 5: Solve for x
x = 1,774,224/546 - Step 6: Final answer
x = 3,249.49
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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.