Finding the Third Proportional to 204,282 and 422,712
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Solution
The third proportional to 204,282 and 422,712 is: 874,699.85
Step by Step Solution
- Step 1: Write the proportion equation
204,282 : 422,712 = 422,712 : x - Step 2: Convert to fraction form
204,282/422,712 = 422,712/x - Step 3: Cross multiply
204,282x = 422,712 × 422,712 - Step 4: Simplify right side
204,282x = 178,685,434,944 - Step 5: Solve for x
x = 178,685,434,944/204,282 - Step 6: Final answer
x = 874,699.85
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.