Finding the Third Proportional to 289,708 and 432,880
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Solution
The third proportional to 289,708 and 432,880 is: 646,806.77
Step by Step Solution
- Step 1: Write the proportion equation
289,708 : 432,880 = 432,880 : x - Step 2: Convert to fraction form
289,708/432,880 = 432,880/x - Step 3: Cross multiply
289,708x = 432,880 × 432,880 - Step 4: Simplify right side
289,708x = 187,385,094,400 - Step 5: Solve for x
x = 187,385,094,400/289,708 - Step 6: Final answer
x = 646,806.77
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.