Finding the Third Proportional to 204,848 and 447,214
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Solution
The third proportional to 204,848 and 447,214 is: 976,335.44
Step by Step Solution
- Step 1: Write the proportion equation
204,848 : 447,214 = 447,214 : x - Step 2: Convert to fraction form
204,848/447,214 = 447,214/x - Step 3: Cross multiply
204,848x = 447,214 × 447,214 - Step 4: Simplify right side
204,848x = 200,000,361,796 - Step 5: Solve for x
x = 200,000,361,796/204,848 - Step 6: Final answer
x = 976,335.44
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.