Finding the Third Proportional to 430 and 530
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Solution
The third proportional to 430 and 530 is: 653.26
Step by Step Solution
- Step 1: Write the proportion equation
430 : 530 = 530 : x - Step 2: Convert to fraction form
430/530 = 530/x - Step 3: Cross multiply
430x = 530 × 530 - Step 4: Simplify right side
430x = 280,900 - Step 5: Solve for x
x = 280,900/430 - Step 6: Final answer
x = 653.26
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.