Finding the Third Proportional to 472,404 and 486,012
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Solution
The third proportional to 472,404 and 486,012 is: 500,011.99
Step by Step Solution
- Step 1: Write the proportion equation
472,404 : 486,012 = 486,012 : x - Step 2: Convert to fraction form
472,404/486,012 = 486,012/x - Step 3: Cross multiply
472,404x = 486,012 × 486,012 - Step 4: Simplify right side
472,404x = 236,207,664,144 - Step 5: Solve for x
x = 236,207,664,144/472,404 - Step 6: Final answer
x = 500,011.99
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.