Finding the Third Proportional to 823 and 907
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Solution
The third proportional to 823 and 907 is: 999.57
Step by Step Solution
- Step 1: Write the proportion equation
823 : 907 = 907 : x - Step 2: Convert to fraction form
823/907 = 907/x - Step 3: Cross multiply
823x = 907 × 907 - Step 4: Simplify right side
823x = 822,649 - Step 5: Solve for x
x = 822,649/823 - Step 6: Final answer
x = 999.57
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.