Finding the Third Proportional to 210,900 and 497,838
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Solution
The third proportional to 210,900 and 497,838 is: 1,175,166.78
Step by Step Solution
- Step 1: Write the proportion equation
210,900 : 497,838 = 497,838 : x - Step 2: Convert to fraction form
210,900/497,838 = 497,838/x - Step 3: Cross multiply
210,900x = 497,838 × 497,838 - Step 4: Simplify right side
210,900x = 247,842,674,244 - Step 5: Solve for x
x = 247,842,674,244/210,900 - Step 6: Final answer
x = 1,175,166.78
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.