Finding the Third Proportional to 296,301 and 651,678
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Solution
The third proportional to 296,301 and 651,678 is: 1,433,286.47
Step by Step Solution
- Step 1: Write the proportion equation
296,301 : 651,678 = 651,678 : x - Step 2: Convert to fraction form
296,301/651,678 = 651,678/x - Step 3: Cross multiply
296,301x = 651,678 × 651,678 - Step 4: Simplify right side
296,301x = 424,684,215,684 - Step 5: Solve for x
x = 424,684,215,684/296,301 - Step 6: Final answer
x = 1,433,286.47
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.