Finding the Third Proportional to 233,837 and 334,405
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Solution
The third proportional to 233,837 and 334,405 is: 478,225.02
Step by Step Solution
- Step 1: Write the proportion equation
233,837 : 334,405 = 334,405 : x - Step 2: Convert to fraction form
233,837/334,405 = 334,405/x - Step 3: Cross multiply
233,837x = 334,405 × 334,405 - Step 4: Simplify right side
233,837x = 111,826,704,025 - Step 5: Solve for x
x = 111,826,704,025/233,837 - Step 6: Final answer
x = 478,225.02
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.