Finding the Third Proportional to 289,665 and 605,820
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Solution
The third proportional to 289,665 and 605,820 is: 1,267,042.52
Step by Step Solution
- Step 1: Write the proportion equation
289,665 : 605,820 = 605,820 : x - Step 2: Convert to fraction form
289,665/605,820 = 605,820/x - Step 3: Cross multiply
289,665x = 605,820 × 605,820 - Step 4: Simplify right side
289,665x = 367,017,872,400 - Step 5: Solve for x
x = 367,017,872,400/289,665 - Step 6: Final answer
x = 1,267,042.52
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.