Finding the Third Proportional to 267,013.13 and 413,304.19
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Solution
The third proportional to 267,013.13 and 413,304.19 is: 639,745.15
Step by Step Solution
- Step 1: Write the proportion equation
267,013.13 : 413,304.19 = 413,304.19 : x - Step 2: Convert to fraction form
267,013.13/413,304.19 = 413,304.19/x - Step 3: Cross multiply
267,013.13x = 413,304.19 × 413,304.19 - Step 4: Simplify right side
267,013.13x = 170,820,351,405.04 - Step 5: Solve for x
x = 170,820,351,405.04/267,013.13 - Step 6: Final answer
x = 639,745.15
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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.