Finding the Third Proportional to 229,510 and 497,150
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Solution
The third proportional to 229,510 and 497,150 is: 1,076,894.79
Step by Step Solution
- Step 1: Write the proportion equation
229,510 : 497,150 = 497,150 : x - Step 2: Convert to fraction form
229,510/497,150 = 497,150/x - Step 3: Cross multiply
229,510x = 497,150 × 497,150 - Step 4: Simplify right side
229,510x = 247,158,122,500 - Step 5: Solve for x
x = 247,158,122,500/229,510 - Step 6: Final answer
x = 1,076,894.79
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.