Finding the Third Proportional to 213,282 and 493,758
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Solution
The third proportional to 213,282 and 493,758 is: 1,143,073.31
Step by Step Solution
- Step 1: Write the proportion equation
213,282 : 493,758 = 493,758 : x - Step 2: Convert to fraction form
213,282/493,758 = 493,758/x - Step 3: Cross multiply
213,282x = 493,758 × 493,758 - Step 4: Simplify right side
213,282x = 243,796,962,564 - Step 5: Solve for x
x = 243,796,962,564/213,282 - Step 6: Final answer
x = 1,143,073.31
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.