Finding the Third Proportional to 231,466 and 507,404
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Solution
The third proportional to 231,466 and 507,404 is: 1,112,296.49
Step by Step Solution
- Step 1: Write the proportion equation
231,466 : 507,404 = 507,404 : x - Step 2: Convert to fraction form
231,466/507,404 = 507,404/x - Step 3: Cross multiply
231,466x = 507,404 × 507,404 - Step 4: Simplify right side
231,466x = 257,458,819,216 - Step 5: Solve for x
x = 257,458,819,216/231,466 - Step 6: Final answer
x = 1,112,296.49
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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.