Finding the Third Proportional to 227,004 and 488,184
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Solution
The third proportional to 227,004 and 488,184 is: 1,049,865.28
Step by Step Solution
- Step 1: Write the proportion equation
227,004 : 488,184 = 488,184 : x - Step 2: Convert to fraction form
227,004/488,184 = 488,184/x - Step 3: Cross multiply
227,004x = 488,184 × 488,184 - Step 4: Simplify right side
227,004x = 238,323,617,856 - Step 5: Solve for x
x = 238,323,617,856/227,004 - Step 6: Final answer
x = 1,049,865.28
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.