Finding the Third Proportional to 431,712 and 670,176
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Solution
The third proportional to 431,712 and 670,176 is: 1,040,359.94
Step by Step Solution
- Step 1: Write the proportion equation
431,712 : 670,176 = 670,176 : x - Step 2: Convert to fraction form
431,712/670,176 = 670,176/x - Step 3: Cross multiply
431,712x = 670,176 × 670,176 - Step 4: Simplify right side
431,712x = 449,135,870,976 - Step 5: Solve for x
x = 449,135,870,976/431,712 - Step 6: Final answer
x = 1,040,359.94
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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.