Finding the Third Proportional to 205,038 and 443,772
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Solution
The third proportional to 205,038 and 443,772 is: 960,473.61
Step by Step Solution
- Step 1: Write the proportion equation
205,038 : 443,772 = 443,772 : x - Step 2: Convert to fraction form
205,038/443,772 = 443,772/x - Step 3: Cross multiply
205,038x = 443,772 × 443,772 - Step 4: Simplify right side
205,038x = 196,933,587,984 - Step 5: Solve for x
x = 196,933,587,984/205,038 - Step 6: Final answer
x = 960,473.61
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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.