Finding the Third Proportional to 231,682 and 507,648
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Solution
The third proportional to 231,682 and 507,648 is: 1,112,328.50
Step by Step Solution
- Step 1: Write the proportion equation
231,682 : 507,648 = 507,648 : x - Step 2: Convert to fraction form
231,682/507,648 = 507,648/x - Step 3: Cross multiply
231,682x = 507,648 × 507,648 - Step 4: Simplify right side
231,682x = 257,706,491,904 - Step 5: Solve for x
x = 257,706,491,904/231,682 - Step 6: Final answer
x = 1,112,328.50
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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.