Finding the Third Proportional to 231,710 and 505,996
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Solution
The third proportional to 231,710 and 505,996 is: 1,104,967.21
Step by Step Solution
- Step 1: Write the proportion equation
231,710 : 505,996 = 505,996 : x - Step 2: Convert to fraction form
231,710/505,996 = 505,996/x - Step 3: Cross multiply
231,710x = 505,996 × 505,996 - Step 4: Simplify right side
231,710x = 256,031,952,016 - Step 5: Solve for x
x = 256,031,952,016/231,710 - Step 6: Final answer
x = 1,104,967.21
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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.