Finding the Third Proportional to 289,524 and 645,468
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Solution
The third proportional to 289,524 and 645,468 is: 1,439,013.48
Step by Step Solution
- Step 1: Write the proportion equation
289,524 : 645,468 = 645,468 : x - Step 2: Convert to fraction form
289,524/645,468 = 645,468/x - Step 3: Cross multiply
289,524x = 645,468 × 645,468 - Step 4: Simplify right side
289,524x = 416,628,939,024 - Step 5: Solve for x
x = 416,628,939,024/289,524 - Step 6: Final answer
x = 1,439,013.48
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.