Finding the Third Proportional to 523,690 and 800,767
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Solution
The third proportional to 523,690 and 800,767 is: 1,224,441.54
Step by Step Solution
- Step 1: Write the proportion equation
523,690 : 800,767 = 800,767 : x - Step 2: Convert to fraction form
523,690/800,767 = 800,767/x - Step 3: Cross multiply
523,690x = 800,767 × 800,767 - Step 4: Simplify right side
523,690x = 641,227,788,289 - Step 5: Solve for x
x = 641,227,788,289/523,690 - Step 6: Final answer
x = 1,224,441.54
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.