Finding the Third Proportional to 385,996 and 830,312
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Solution
The third proportional to 385,996 and 830,312 is: 1,786,075.55
Step by Step Solution
- Step 1: Write the proportion equation
385,996 : 830,312 = 830,312 : x - Step 2: Convert to fraction form
385,996/830,312 = 830,312/x - Step 3: Cross multiply
385,996x = 830,312 × 830,312 - Step 4: Simplify right side
385,996x = 689,418,017,344 - Step 5: Solve for x
x = 689,418,017,344/385,996 - Step 6: Final answer
x = 1,786,075.55
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.