Finding the Third Proportional to 230,648 and 505,016
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Solution
The third proportional to 230,648 and 505,016 is: 1,105,759.25
Step by Step Solution
- Step 1: Write the proportion equation
230,648 : 505,016 = 505,016 : x - Step 2: Convert to fraction form
230,648/505,016 = 505,016/x - Step 3: Cross multiply
230,648x = 505,016 × 505,016 - Step 4: Simplify right side
230,648x = 255,041,160,256 - Step 5: Solve for x
x = 255,041,160,256/230,648 - Step 6: Final answer
x = 1,105,759.25
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.