Finding the Third Proportional to 442,512 and 686,340
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Solution
The third proportional to 442,512 and 686,340 is: 1,064,519.37
Step by Step Solution
- Step 1: Write the proportion equation
442,512 : 686,340 = 686,340 : x - Step 2: Convert to fraction form
442,512/686,340 = 686,340/x - Step 3: Cross multiply
442,512x = 686,340 × 686,340 - Step 4: Simplify right side
442,512x = 471,062,595,600 - Step 5: Solve for x
x = 471,062,595,600/442,512 - Step 6: Final answer
x = 1,064,519.37
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.