Finding the Third Proportional to 215,660 and 465,016
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Solution
The third proportional to 215,660 and 465,016 is: 1,002,688.86
Step by Step Solution
- Step 1: Write the proportion equation
215,660 : 465,016 = 465,016 : x - Step 2: Convert to fraction form
215,660/465,016 = 465,016/x - Step 3: Cross multiply
215,660x = 465,016 × 465,016 - Step 4: Simplify right side
215,660x = 216,239,880,256 - Step 5: Solve for x
x = 216,239,880,256/215,660 - Step 6: Final answer
x = 1,002,688.86
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.