Finding the Third Proportional to 378,422 and 569,230
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Solution
The third proportional to 378,422 and 569,230 is: 856,247.24
Step by Step Solution
- Step 1: Write the proportion equation
378,422 : 569,230 = 569,230 : x - Step 2: Convert to fraction form
378,422/569,230 = 569,230/x - Step 3: Cross multiply
378,422x = 569,230 × 569,230 - Step 4: Simplify right side
378,422x = 324,022,792,900 - Step 5: Solve for x
x = 324,022,792,900/378,422 - Step 6: Final answer
x = 856,247.24
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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.