Finding the Third Proportional to 398,830 and 598,542
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Solution
The third proportional to 398,830 and 598,542 is: 898,258.72
Step by Step Solution
- Step 1: Write the proportion equation
398,830 : 598,542 = 598,542 : x - Step 2: Convert to fraction form
398,830/598,542 = 598,542/x - Step 3: Cross multiply
398,830x = 598,542 × 598,542 - Step 4: Simplify right side
398,830x = 358,252,525,764 - Step 5: Solve for x
x = 358,252,525,764/398,830 - Step 6: Final answer
x = 898,258.72
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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.