Finding the Third Proportional to 277,020 and 596,412
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Solution
The third proportional to 277,020 and 596,412 is: 1,284,049.07
Step by Step Solution
- Step 1: Write the proportion equation
277,020 : 596,412 = 596,412 : x - Step 2: Convert to fraction form
277,020/596,412 = 596,412/x - Step 3: Cross multiply
277,020x = 596,412 × 596,412 - Step 4: Simplify right side
277,020x = 355,707,273,744 - Step 5: Solve for x
x = 355,707,273,744/277,020 - Step 6: Final answer
x = 1,284,049.07
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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.