Finding the Third Proportional to 199,904.63 and 471,906
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Solution
The third proportional to 199,904.63 and 471,906 is: 1,114,007.61
Step by Step Solution
- Step 1: Write the proportion equation
199,904.63 : 471,906 = 471,906 : x - Step 2: Convert to fraction form
199,904.63/471,906 = 471,906/x - Step 3: Cross multiply
199,904.63x = 471,906 × 471,906 - Step 4: Simplify right side
199,904.63x = 222,695,272,836 - Step 5: Solve for x
x = 222,695,272,836/199,904.63 - Step 6: Final answer
x = 1,114,007.61
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.