Finding the Third Proportional to 430 and 644
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Solution
The third proportional to 430 and 644 is: 964.50
Step by Step Solution
- Step 1: Write the proportion equation
430 : 644 = 644 : x - Step 2: Convert to fraction form
430/644 = 644/x - Step 3: Cross multiply
430x = 644 × 644 - Step 4: Simplify right side
430x = 414,736 - Step 5: Solve for x
x = 414,736/430 - Step 6: Final answer
x = 964.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.