Finding the Third Proportional to 262,942,708 and 408,767,154
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Solution
The third proportional to 262,942,708 and 408,767,154 is: 635,463,852.41
Step by Step Solution
- Step 1: Write the proportion equation
262,942,708 : 408,767,154 = 408,767,154 : x - Step 2: Convert to fraction form
262,942,708/408,767,154 = 408,767,154/x - Step 3: Cross multiply
262,942,708x = 408,767,154 × 408,767,154 - Step 4: Simplify right side
262,942,708x = 167,090,586,189,259,712 - Step 5: Solve for x
x = 167,090,586,189,259,712/262,942,708 - Step 6: Final answer
x = 635,463,852.41
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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.