Finding the Third Proportional to 214,302 and 466,702
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Solution
The third proportional to 214,302 and 466,702 is: 1,016,372.95
Step by Step Solution
- Step 1: Write the proportion equation
214,302 : 466,702 = 466,702 : x - Step 2: Convert to fraction form
214,302/466,702 = 466,702/x - Step 3: Cross multiply
214,302x = 466,702 × 466,702 - Step 4: Simplify right side
214,302x = 217,810,756,804 - Step 5: Solve for x
x = 217,810,756,804/214,302 - Step 6: Final answer
x = 1,016,372.95
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.