Finding the Third Proportional to 209,034 and 458,100
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Solution
The third proportional to 209,034 and 458,100 is: 1,003,930.51
Step by Step Solution
- Step 1: Write the proportion equation
209,034 : 458,100 = 458,100 : x - Step 2: Convert to fraction form
209,034/458,100 = 458,100/x - Step 3: Cross multiply
209,034x = 458,100 × 458,100 - Step 4: Simplify right side
209,034x = 209,855,610,000 - Step 5: Solve for x
x = 209,855,610,000/209,034 - Step 6: Final answer
x = 1,003,930.51
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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.