Finding the Third Proportional to 302,964.75 and 460,743.19
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Solution
The third proportional to 302,964.75 and 460,743.19 is: 700,689.72
Step by Step Solution
- Step 1: Write the proportion equation
302,964.75 : 460,743.19 = 460,743.19 : x - Step 2: Convert to fraction form
302,964.75/460,743.19 = 460,743.19/x - Step 3: Cross multiply
302,964.75x = 460,743.19 × 460,743.19 - Step 4: Simplify right side
302,964.75x = 212,284,284,827.66 - Step 5: Solve for x
x = 212,284,284,827.66/302,964.75 - Step 6: Final answer
x = 700,689.72
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.