Finding the Third Proportional to 231,658 and 507,602
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Solution
The third proportional to 231,658 and 507,602 is: 1,112,242.14
Step by Step Solution
- Step 1: Write the proportion equation
231,658 : 507,602 = 507,602 : x - Step 2: Convert to fraction form
231,658/507,602 = 507,602/x - Step 3: Cross multiply
231,658x = 507,602 × 507,602 - Step 4: Simplify right side
231,658x = 257,659,790,404 - Step 5: Solve for x
x = 257,659,790,404/231,658 - Step 6: Final answer
x = 1,112,242.14
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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.