Finding the Third Proportional to 282,674 and 431,756
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Solution
The third proportional to 282,674 and 431,756 is: 659,463.71
Step by Step Solution
- Step 1: Write the proportion equation
282,674 : 431,756 = 431,756 : x - Step 2: Convert to fraction form
282,674/431,756 = 431,756/x - Step 3: Cross multiply
282,674x = 431,756 × 431,756 - Step 4: Simplify right side
282,674x = 186,413,243,536 - Step 5: Solve for x
x = 186,413,243,536/282,674 - Step 6: Final answer
x = 659,463.71
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.