Finding the Third Proportional to 437,820 and 714,834
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Solution
The third proportional to 437,820 and 714,834 is: 1,167,118.10
Step by Step Solution
- Step 1: Write the proportion equation
437,820 : 714,834 = 714,834 : x - Step 2: Convert to fraction form
437,820/714,834 = 714,834/x - Step 3: Cross multiply
437,820x = 714,834 × 714,834 - Step 4: Simplify right side
437,820x = 510,987,647,556 - Step 5: Solve for x
x = 510,987,647,556/437,820 - Step 6: Final answer
x = 1,167,118.10
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.