Finding the Third Proportional to 499,422 and 782,601
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Solution
The third proportional to 499,422 and 782,601 is: 1,226,346.31
Step by Step Solution
- Step 1: Write the proportion equation
499,422 : 782,601 = 782,601 : x - Step 2: Convert to fraction form
499,422/782,601 = 782,601/x - Step 3: Cross multiply
499,422x = 782,601 × 782,601 - Step 4: Simplify right side
499,422x = 612,464,325,201 - Step 5: Solve for x
x = 612,464,325,201/499,422 - Step 6: Final answer
x = 1,226,346.31
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.