Finding the Third Proportional to 257,954 and 398,594
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Solution
The third proportional to 257,954 and 398,594 is: 615,912.82
Step by Step Solution
- Step 1: Write the proportion equation
257,954 : 398,594 = 398,594 : x - Step 2: Convert to fraction form
257,954/398,594 = 398,594/x - Step 3: Cross multiply
257,954x = 398,594 × 398,594 - Step 4: Simplify right side
257,954x = 158,877,176,836 - Step 5: Solve for x
x = 158,877,176,836/257,954 - Step 6: Final answer
x = 615,912.82
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.