Finding the Third Proportional to 209,070 and 458,172
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Solution
The third proportional to 209,070 and 458,172 is: 1,004,073.19
Step by Step Solution
- Step 1: Write the proportion equation
209,070 : 458,172 = 458,172 : x - Step 2: Convert to fraction form
209,070/458,172 = 458,172/x - Step 3: Cross multiply
209,070x = 458,172 × 458,172 - Step 4: Simplify right side
209,070x = 209,921,581,584 - Step 5: Solve for x
x = 209,921,581,584/209,070 - Step 6: Final answer
x = 1,004,073.19
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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.