Finding the Third Proportional to 229,038 and 488,514
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Solution
The third proportional to 229,038 and 488,514 is: 1,041,949.06
Step by Step Solution
- Step 1: Write the proportion equation
229,038 : 488,514 = 488,514 : x - Step 2: Convert to fraction form
229,038/488,514 = 488,514/x - Step 3: Cross multiply
229,038x = 488,514 × 488,514 - Step 4: Simplify right side
229,038x = 238,645,928,196 - Step 5: Solve for x
x = 238,645,928,196/229,038 - Step 6: Final answer
x = 1,041,949.06
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.