Finding the Third Proportional to 449,006 and 678,173
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Solution
The third proportional to 449,006 and 678,173 is: 1,024,303.95
Step by Step Solution
- Step 1: Write the proportion equation
449,006 : 678,173 = 678,173 : x - Step 2: Convert to fraction form
449,006/678,173 = 678,173/x - Step 3: Cross multiply
449,006x = 678,173 × 678,173 - Step 4: Simplify right side
449,006x = 459,918,617,929 - Step 5: Solve for x
x = 459,918,617,929/449,006 - Step 6: Final answer
x = 1,024,303.95
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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.