Finding the Third Proportional to 467,822 and 723,783
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Solution
The third proportional to 467,822 and 723,783 is: 1,119,788.79
Step by Step Solution
- Step 1: Write the proportion equation
467,822 : 723,783 = 723,783 : x - Step 2: Convert to fraction form
467,822/723,783 = 723,783/x - Step 3: Cross multiply
467,822x = 723,783 × 723,783 - Step 4: Simplify right side
467,822x = 523,861,831,089 - Step 5: Solve for x
x = 523,861,831,089/467,822 - Step 6: Final answer
x = 1,119,788.79
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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.