Finding the Third Proportional to 282,808 and 609,894
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Solution
The third proportional to 282,808 and 609,894 is: 1,315,276.41
Step by Step Solution
- Step 1: Write the proportion equation
282,808 : 609,894 = 609,894 : x - Step 2: Convert to fraction form
282,808/609,894 = 609,894/x - Step 3: Cross multiply
282,808x = 609,894 × 609,894 - Step 4: Simplify right side
282,808x = 371,970,691,236 - Step 5: Solve for x
x = 371,970,691,236/282,808 - Step 6: Final answer
x = 1,315,276.41
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.