Finding the Third Proportional to 273,575 and 409,269
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Solution
The third proportional to 273,575 and 409,269 is: 612,267.62
Step by Step Solution
- Step 1: Write the proportion equation
273,575 : 409,269 = 409,269 : x - Step 2: Convert to fraction form
273,575/409,269 = 409,269/x - Step 3: Cross multiply
273,575x = 409,269 × 409,269 - Step 4: Simplify right side
273,575x = 167,501,114,361 - Step 5: Solve for x
x = 167,501,114,361/273,575 - Step 6: Final answer
x = 612,267.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.