Finding the Third Proportional to 214,652 and 466,206
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Solution
The third proportional to 214,652 and 466,206 is: 1,012,560.02
Step by Step Solution
- Step 1: Write the proportion equation
214,652 : 466,206 = 466,206 : x - Step 2: Convert to fraction form
214,652/466,206 = 466,206/x - Step 3: Cross multiply
214,652x = 466,206 × 466,206 - Step 4: Simplify right side
214,652x = 217,348,034,436 - Step 5: Solve for x
x = 217,348,034,436/214,652 - Step 6: Final answer
x = 1,012,560.02
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.