Finding the Third Proportional to 313,846 and 402,969
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Solution
The third proportional to 313,846 and 402,969 is: 517,400.30
Step by Step Solution
- Step 1: Write the proportion equation
313,846 : 402,969 = 402,969 : x - Step 2: Convert to fraction form
313,846/402,969 = 402,969/x - Step 3: Cross multiply
313,846x = 402,969 × 402,969 - Step 4: Simplify right side
313,846x = 162,384,014,961 - Step 5: Solve for x
x = 162,384,014,961/313,846 - Step 6: Final answer
x = 517,400.30
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.