Finding the Third Proportional to 262,300 and 562,812
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Solution
The third proportional to 262,300 and 562,812 is: 1,207,614.74
Step by Step Solution
- Step 1: Write the proportion equation
262,300 : 562,812 = 562,812 : x - Step 2: Convert to fraction form
262,300/562,812 = 562,812/x - Step 3: Cross multiply
262,300x = 562,812 × 562,812 - Step 4: Simplify right side
262,300x = 316,757,347,344 - Step 5: Solve for x
x = 316,757,347,344/262,300 - Step 6: Final answer
x = 1,207,614.74
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.