Finding the Third Proportional to 485 and 1,046
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Solution
The third proportional to 485 and 1,046 is: 2,255.91
Step by Step Solution
- Step 1: Write the proportion equation
485 : 1,046 = 1,046 : x - Step 2: Convert to fraction form
485/1,046 = 1,046/x - Step 3: Cross multiply
485x = 1,046 × 1,046 - Step 4: Simplify right side
485x = 1,094,116 - Step 5: Solve for x
x = 1,094,116/485 - Step 6: Final answer
x = 2,255.91
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.