Finding the Third Proportional to 231,427 and 507,242
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Solution
The third proportional to 231,427 and 507,242 is: 1,111,773.68
Step by Step Solution
- Step 1: Write the proportion equation
231,427 : 507,242 = 507,242 : x - Step 2: Convert to fraction form
231,427/507,242 = 507,242/x - Step 3: Cross multiply
231,427x = 507,242 × 507,242 - Step 4: Simplify right side
231,427x = 257,294,446,564 - Step 5: Solve for x
x = 257,294,446,564/231,427 - Step 6: Final answer
x = 1,111,773.68
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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.