Finding the Third Proportional to 316,508 and 422,804
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Solution
The third proportional to 316,508 and 422,804 is: 564,798.43
Step by Step Solution
- Step 1: Write the proportion equation
316,508 : 422,804 = 422,804 : x - Step 2: Convert to fraction form
316,508/422,804 = 422,804/x - Step 3: Cross multiply
316,508x = 422,804 × 422,804 - Step 4: Simplify right side
316,508x = 178,763,222,416 - Step 5: Solve for x
x = 178,763,222,416/316,508 - Step 6: Final answer
x = 564,798.43
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.