Finding the Third Proportional to 270,278 and 423,984
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Solution
The third proportional to 270,278 and 423,984 is: 665,101.98
Step by Step Solution
- Step 1: Write the proportion equation
270,278 : 423,984 = 423,984 : x - Step 2: Convert to fraction form
270,278/423,984 = 423,984/x - Step 3: Cross multiply
270,278x = 423,984 × 423,984 - Step 4: Simplify right side
270,278x = 179,762,432,256 - Step 5: Solve for x
x = 179,762,432,256/270,278 - Step 6: Final answer
x = 665,101.98
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.