Finding the Third Proportional to 211,758 and 464,970
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Solution
The third proportional to 211,758 and 464,970 is: 1,020,963.08
Step by Step Solution
- Step 1: Write the proportion equation
211,758 : 464,970 = 464,970 : x - Step 2: Convert to fraction form
211,758/464,970 = 464,970/x - Step 3: Cross multiply
211,758x = 464,970 × 464,970 - Step 4: Simplify right side
211,758x = 216,197,100,900 - Step 5: Solve for x
x = 216,197,100,900/211,758 - Step 6: Final answer
x = 1,020,963.08
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.