Finding the Third Proportional to 449,004 and 678,171
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Solution
The third proportional to 449,004 and 678,171 is: 1,024,302.47
Step by Step Solution
- Step 1: Write the proportion equation
449,004 : 678,171 = 678,171 : x - Step 2: Convert to fraction form
449,004/678,171 = 678,171/x - Step 3: Cross multiply
449,004x = 678,171 × 678,171 - Step 4: Simplify right side
449,004x = 459,915,905,241 - Step 5: Solve for x
x = 459,915,905,241/449,004 - Step 6: Final answer
x = 1,024,302.47
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.