Finding the Third Proportional to 293,676 and 423,984
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Solution
The third proportional to 293,676 and 423,984 is: 612,111.42
Step by Step Solution
- Step 1: Write the proportion equation
293,676 : 423,984 = 423,984 : x - Step 2: Convert to fraction form
293,676/423,984 = 423,984/x - Step 3: Cross multiply
293,676x = 423,984 × 423,984 - Step 4: Simplify right side
293,676x = 179,762,432,256 - Step 5: Solve for x
x = 179,762,432,256/293,676 - Step 6: Final answer
x = 612,111.42
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.