Finding the Third Proportional to 229,752 and 496,404
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Solution
The third proportional to 229,752 and 496,404 is: 1,072,534.43
Step by Step Solution
- Step 1: Write the proportion equation
229,752 : 496,404 = 496,404 : x - Step 2: Convert to fraction form
229,752/496,404 = 496,404/x - Step 3: Cross multiply
229,752x = 496,404 × 496,404 - Step 4: Simplify right side
229,752x = 246,416,931,216 - Step 5: Solve for x
x = 246,416,931,216/229,752 - Step 6: Final answer
x = 1,072,534.43
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.