Finding the Third Proportional to 330,966 and 511,427
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Solution
The third proportional to 330,966 and 511,427 is: 790,285.34
Step by Step Solution
- Step 1: Write the proportion equation
330,966 : 511,427 = 511,427 : x - Step 2: Convert to fraction form
330,966/511,427 = 511,427/x - Step 3: Cross multiply
330,966x = 511,427 × 511,427 - Step 4: Simplify right side
330,966x = 261,557,576,329 - Step 5: Solve for x
x = 261,557,576,329/330,966 - Step 6: Final answer
x = 790,285.34
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.