Finding the Third Proportional to 269,748 and 416,790
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Solution
The third proportional to 269,748 and 416,790 is: 643,985.88
Step by Step Solution
- Step 1: Write the proportion equation
269,748 : 416,790 = 416,790 : x - Step 2: Convert to fraction form
269,748/416,790 = 416,790/x - Step 3: Cross multiply
269,748x = 416,790 × 416,790 - Step 4: Simplify right side
269,748x = 173,713,904,100 - Step 5: Solve for x
x = 173,713,904,100/269,748 - Step 6: Final answer
x = 643,985.88
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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.