Finding the Third Proportional to 205,024 and 443,744
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Solution
The third proportional to 205,024 and 443,744 is: 960,417.99
Step by Step Solution
- Step 1: Write the proportion equation
205,024 : 443,744 = 443,744 : x - Step 2: Convert to fraction form
205,024/443,744 = 443,744/x - Step 3: Cross multiply
205,024x = 443,744 × 443,744 - Step 4: Simplify right side
205,024x = 196,908,737,536 - Step 5: Solve for x
x = 196,908,737,536/205,024 - Step 6: Final answer
x = 960,417.99
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.