Finding the Third Proportional to 204,432 and 477,513
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Solution
The third proportional to 204,432 and 477,513 is: 1,115,376.58
Step by Step Solution
- Step 1: Write the proportion equation
204,432 : 477,513 = 477,513 : x - Step 2: Convert to fraction form
204,432/477,513 = 477,513/x - Step 3: Cross multiply
204,432x = 477,513 × 477,513 - Step 4: Simplify right side
204,432x = 228,018,665,169 - Step 5: Solve for x
x = 228,018,665,169/204,432 - Step 6: Final answer
x = 1,115,376.58
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.