Finding the Third Proportional to 203,460 and 456,957
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Solution
The third proportional to 203,460 and 456,957 is: 1,026,293.62
Step by Step Solution
- Step 1: Write the proportion equation
203,460 : 456,957 = 456,957 : x - Step 2: Convert to fraction form
203,460/456,957 = 456,957/x - Step 3: Cross multiply
203,460x = 456,957 × 456,957 - Step 4: Simplify right side
203,460x = 208,809,699,849 - Step 5: Solve for x
x = 208,809,699,849/203,460 - Step 6: Final answer
x = 1,026,293.62
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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.