Finding the Third Proportional to 297,874.50 and 416,679.75
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Solution
The third proportional to 297,874.50 and 416,679.75 is: 582,869.68
Step by Step Solution
- Step 1: Write the proportion equation
297,874.50 : 416,679.75 = 416,679.75 : x - Step 2: Convert to fraction form
297,874.50/416,679.75 = 416,679.75/x - Step 3: Cross multiply
297,874.50x = 416,679.75 × 416,679.75 - Step 4: Simplify right side
297,874.50x = 173,622,014,060.06 - Step 5: Solve for x
x = 173,622,014,060.06/297,874.50 - Step 6: Final answer
x = 582,869.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.