Finding the Third Proportional to 229,469 and 497,074
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Solution
The third proportional to 229,469 and 497,074 is: 1,076,757.91
Step by Step Solution
- Step 1: Write the proportion equation
229,469 : 497,074 = 497,074 : x - Step 2: Convert to fraction form
229,469/497,074 = 497,074/x - Step 3: Cross multiply
229,469x = 497,074 × 497,074 - Step 4: Simplify right side
229,469x = 247,082,561,476 - Step 5: Solve for x
x = 247,082,561,476/229,469 - Step 6: Final answer
x = 1,076,757.91
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.