Finding the Third Proportional to 460,436 and 714,566
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Solution
The third proportional to 460,436 and 714,566 is: 1,108,958.83
Step by Step Solution
- Step 1: Write the proportion equation
460,436 : 714,566 = 714,566 : x - Step 2: Convert to fraction form
460,436/714,566 = 714,566/x - Step 3: Cross multiply
460,436x = 714,566 × 714,566 - Step 4: Simplify right side
460,436x = 510,604,568,356 - Step 5: Solve for x
x = 510,604,568,356/460,436 - Step 6: Final answer
x = 1,108,958.83
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.