Finding the Third Proportional to 231,848 and 507,976
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Solution
The third proportional to 231,848 and 507,976 is: 1,112,968.91
Step by Step Solution
- Step 1: Write the proportion equation
231,848 : 507,976 = 507,976 : x - Step 2: Convert to fraction form
231,848/507,976 = 507,976/x - Step 3: Cross multiply
231,848x = 507,976 × 507,976 - Step 4: Simplify right side
231,848x = 258,039,616,576 - Step 5: Solve for x
x = 258,039,616,576/231,848 - Step 6: Final answer
x = 1,112,968.91
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.