Finding the Third Proportional to 511,732 and 809,718
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Solution
The third proportional to 511,732 and 809,718 is: 1,281,223.84
Step by Step Solution
- Step 1: Write the proportion equation
511,732 : 809,718 = 809,718 : x - Step 2: Convert to fraction form
511,732/809,718 = 809,718/x - Step 3: Cross multiply
511,732x = 809,718 × 809,718 - Step 4: Simplify right side
511,732x = 655,643,239,524 - Step 5: Solve for x
x = 655,643,239,524/511,732 - Step 6: Final answer
x = 1,281,223.84
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.