Finding the Third Proportional to 413,403.75 and 585,123.75
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Solution
The third proportional to 413,403.75 and 585,123.75 is: 828,172.95
Step by Step Solution
- Step 1: Write the proportion equation
413,403.75 : 585,123.75 = 585,123.75 : x - Step 2: Convert to fraction form
413,403.75/585,123.75 = 585,123.75/x - Step 3: Cross multiply
413,403.75x = 585,123.75 × 585,123.75 - Step 4: Simplify right side
413,403.75x = 342,369,802,814.06 - Step 5: Solve for x
x = 342,369,802,814.06/413,403.75 - Step 6: Final answer
x = 828,172.95
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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.