Finding the Third Proportional to 273,822 and 420,705
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Solution
The third proportional to 273,822 and 420,705 is: 646,378.66
Step by Step Solution
- Step 1: Write the proportion equation
273,822 : 420,705 = 420,705 : x - Step 2: Convert to fraction form
273,822/420,705 = 420,705/x - Step 3: Cross multiply
273,822x = 420,705 × 420,705 - Step 4: Simplify right side
273,822x = 176,992,697,025 - Step 5: Solve for x
x = 176,992,697,025/273,822 - Step 6: Final answer
x = 646,378.66
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.