Finding the Third Proportional to 421,288.50 and 646,011
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Solution
The third proportional to 421,288.50 and 646,011 is: 990,604.33
Step by Step Solution
- Step 1: Write the proportion equation
421,288.50 : 646,011 = 646,011 : x - Step 2: Convert to fraction form
421,288.50/646,011 = 646,011/x - Step 3: Cross multiply
421,288.50x = 646,011 × 646,011 - Step 4: Simplify right side
421,288.50x = 417,330,212,121 - Step 5: Solve for x
x = 417,330,212,121/421,288.50 - Step 6: Final answer
x = 990,604.33
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.