Finding the Third Proportional to 385,562 and 829,076
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Solution
The third proportional to 385,562 and 829,076 is: 1,782,766.49
Step by Step Solution
- Step 1: Write the proportion equation
385,562 : 829,076 = 829,076 : x - Step 2: Convert to fraction form
385,562/829,076 = 829,076/x - Step 3: Cross multiply
385,562x = 829,076 × 829,076 - Step 4: Simplify right side
385,562x = 687,367,013,776 - Step 5: Solve for x
x = 687,367,013,776/385,562 - Step 6: Final answer
x = 1,782,766.49
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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.