Finding the Third Proportional to 267,014.25 and 413,305.75
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Solution
The third proportional to 267,014.25 and 413,305.75 is: 639,747.29
Step by Step Solution
- Step 1: Write the proportion equation
267,014.25 : 413,305.75 = 413,305.75 : x - Step 2: Convert to fraction form
267,014.25/413,305.75 = 413,305.75/x - Step 3: Cross multiply
267,014.25x = 413,305.75 × 413,305.75 - Step 4: Simplify right side
267,014.25x = 170,821,642,983.06 - Step 5: Solve for x
x = 170,821,642,983.06/267,014.25 - Step 6: Final answer
x = 639,747.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.