Finding the Third Proportional to 209,060 and 458,724
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Solution
The third proportional to 209,060 and 458,724 is: 1,006,542.18
Step by Step Solution
- Step 1: Write the proportion equation
209,060 : 458,724 = 458,724 : x - Step 2: Convert to fraction form
209,060/458,724 = 458,724/x - Step 3: Cross multiply
209,060x = 458,724 × 458,724 - Step 4: Simplify right side
209,060x = 210,427,708,176 - Step 5: Solve for x
x = 210,427,708,176/209,060 - Step 6: Final answer
x = 1,006,542.18
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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.