Finding the Third Proportional to 239,919 and 509,358
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Solution
The third proportional to 239,919 and 509,358 is: 1,081,388.19
Step by Step Solution
- Step 1: Write the proportion equation
239,919 : 509,358 = 509,358 : x - Step 2: Convert to fraction form
239,919/509,358 = 509,358/x - Step 3: Cross multiply
239,919x = 509,358 × 509,358 - Step 4: Simplify right side
239,919x = 259,445,572,164 - Step 5: Solve for x
x = 259,445,572,164/239,919 - Step 6: Final answer
x = 1,081,388.19
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.