Finding the Third Proportional to 210,362 and 462,794
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Solution
The third proportional to 210,362 and 462,794 is: 1,018,141.52
Step by Step Solution
- Step 1: Write the proportion equation
210,362 : 462,794 = 462,794 : x - Step 2: Convert to fraction form
210,362/462,794 = 462,794/x - Step 3: Cross multiply
210,362x = 462,794 × 462,794 - Step 4: Simplify right side
210,362x = 214,178,286,436 - Step 5: Solve for x
x = 214,178,286,436/210,362 - Step 6: Final answer
x = 1,018,141.52
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.