Finding the Third Proportional to 465.19 and 1,024.31
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Solution
The third proportional to 465.19 and 1,024.31 is: 2,255.47
Step by Step Solution
- Step 1: Write the proportion equation
465.19 : 1,024.31 = 1,024.31 : x - Step 2: Convert to fraction form
465.19/1,024.31 = 1,024.31/x - Step 3: Cross multiply
465.19x = 1,024.31 × 1,024.31 - Step 4: Simplify right side
465.19x = 1,049,216.10 - Step 5: Solve for x
x = 1,049,216.10/465.19 - Step 6: Final answer
x = 2,255.47
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.