Finding the Third Proportional to 235,432 and 510,999
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Solution
The third proportional to 235,432 and 510,999 is: 1,109,109.97
Step by Step Solution
- Step 1: Write the proportion equation
235,432 : 510,999 = 510,999 : x - Step 2: Convert to fraction form
235,432/510,999 = 510,999/x - Step 3: Cross multiply
235,432x = 510,999 × 510,999 - Step 4: Simplify right side
235,432x = 261,119,978,001 - Step 5: Solve for x
x = 261,119,978,001/235,432 - Step 6: Final answer
x = 1,109,109.97
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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.