Finding the Third Proportional to 423.50 and 647.50
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Solution
The third proportional to 423.50 and 647.50 is: 989.98
Step by Step Solution
- Step 1: Write the proportion equation
423.50 : 647.50 = 647.50 : x - Step 2: Convert to fraction form
423.50/647.50 = 647.50/x - Step 3: Cross multiply
423.50x = 647.50 × 647.50 - Step 4: Simplify right side
423.50x = 419,256.25 - Step 5: Solve for x
x = 419,256.25/423.50 - Step 6: Final answer
x = 989.98
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.