Finding the Third Proportional to 282,006 and 619,830
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Solution
The third proportional to 282,006 and 619,830 is: 1,362,344.17
Step by Step Solution
- Step 1: Write the proportion equation
282,006 : 619,830 = 619,830 : x - Step 2: Convert to fraction form
282,006/619,830 = 619,830/x - Step 3: Cross multiply
282,006x = 619,830 × 619,830 - Step 4: Simplify right side
282,006x = 384,189,228,900 - Step 5: Solve for x
x = 384,189,228,900/282,006 - Step 6: Final answer
x = 1,362,344.17
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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.