Finding the Third Proportional to 523,200 and 1,164,832
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Solution
The third proportional to 523,200 and 1,164,832 is: 2,593,336.37
Step by Step Solution
- Step 1: Write the proportion equation
523,200 : 1,164,832 = 1,164,832 : x - Step 2: Convert to fraction form
523,200/1,164,832 = 1,164,832/x - Step 3: Cross multiply
523,200x = 1,164,832 × 1,164,832 - Step 4: Simplify right side
523,200x = 1,356,833,588,224 - Step 5: Solve for x
x = 1,356,833,588,224/523,200 - Step 6: Final answer
x = 2,593,336.37
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.