Finding the Third Proportional to 413,385.75 and 585,096.75
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Solution
The third proportional to 413,385.75 and 585,096.75 is: 828,132.58
Step by Step Solution
- Step 1: Write the proportion equation
413,385.75 : 585,096.75 = 585,096.75 : x - Step 2: Convert to fraction form
413,385.75/585,096.75 = 585,096.75/x - Step 3: Cross multiply
413,385.75x = 585,096.75 × 585,096.75 - Step 4: Simplify right side
413,385.75x = 342,338,206,860.56 - Step 5: Solve for x
x = 342,338,206,860.56/413,385.75 - Step 6: Final answer
x = 828,132.58
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.