Finding the Third Proportional to 230,014.69 and 471,503.53
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Solution
The third proportional to 230,014.69 and 471,503.53 is: 966,527.76
Step by Step Solution
- Step 1: Write the proportion equation
230,014.69 : 471,503.53 = 471,503.53 : x - Step 2: Convert to fraction form
230,014.69/471,503.53 = 471,503.53/x - Step 3: Cross multiply
230,014.69x = 471,503.53 × 471,503.53 - Step 4: Simplify right side
230,014.69x = 222,315,579,981.22 - Step 5: Solve for x
x = 222,315,579,981.22/230,014.69 - Step 6: Final answer
x = 966,527.76
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.