Finding the Third Proportional to 302,009.63 and 422,452.13
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Solution
The third proportional to 302,009.63 and 422,452.13 is: 590,927.52
Step by Step Solution
- Step 1: Write the proportion equation
302,009.63 : 422,452.13 = 422,452.13 : x - Step 2: Convert to fraction form
302,009.63/422,452.13 = 422,452.13/x - Step 3: Cross multiply
302,009.63x = 422,452.13 × 422,452.13 - Step 4: Simplify right side
302,009.63x = 178,465,797,917.02 - Step 5: Solve for x
x = 178,465,797,917.02/302,009.63 - Step 6: Final answer
x = 590,927.52
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.