Finding the Third Proportional to 263,146 and 578,780
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Solution
The third proportional to 263,146 and 578,780 is: 1,273,005.44
Step by Step Solution
- Step 1: Write the proportion equation
263,146 : 578,780 = 578,780 : x - Step 2: Convert to fraction form
263,146/578,780 = 578,780/x - Step 3: Cross multiply
263,146x = 578,780 × 578,780 - Step 4: Simplify right side
263,146x = 334,986,288,400 - Step 5: Solve for x
x = 334,986,288,400/263,146 - Step 6: Final answer
x = 1,273,005.44
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.