Finding the Third Proportional to 293,140 and 642,392
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Solution
The third proportional to 293,140 and 642,392 is: 1,407,748.79
Step by Step Solution
- Step 1: Write the proportion equation
293,140 : 642,392 = 642,392 : x - Step 2: Convert to fraction form
293,140/642,392 = 642,392/x - Step 3: Cross multiply
293,140x = 642,392 × 642,392 - Step 4: Simplify right side
293,140x = 412,667,481,664 - Step 5: Solve for x
x = 412,667,481,664/293,140 - Step 6: Final answer
x = 1,407,748.79
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.