Finding the Third Proportional to 455,446 and 723,870
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Solution
The third proportional to 455,446 and 723,870 is: 1,150,493.75
Step by Step Solution
- Step 1: Write the proportion equation
455,446 : 723,870 = 723,870 : x - Step 2: Convert to fraction form
455,446/723,870 = 723,870/x - Step 3: Cross multiply
455,446x = 723,870 × 723,870 - Step 4: Simplify right side
455,446x = 523,987,776,900 - Step 5: Solve for x
x = 523,987,776,900/455,446 - Step 6: Final answer
x = 1,150,493.75
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.