Finding the Third Proportional to 270,540 and 420,546
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Solution
The third proportional to 270,540 and 420,546 is: 653,725.65
Step by Step Solution
- Step 1: Write the proportion equation
270,540 : 420,546 = 420,546 : x - Step 2: Convert to fraction form
270,540/420,546 = 420,546/x - Step 3: Cross multiply
270,540x = 420,546 × 420,546 - Step 4: Simplify right side
270,540x = 176,858,938,116 - Step 5: Solve for x
x = 176,858,938,116/270,540 - Step 6: Final answer
x = 653,725.65
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.