Finding the Third Proportional to 215,424 and 469,484
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Solution
The third proportional to 215,424 and 469,484 is: 1,023,169.31
Step by Step Solution
- Step 1: Write the proportion equation
215,424 : 469,484 = 469,484 : x - Step 2: Convert to fraction form
215,424/469,484 = 469,484/x - Step 3: Cross multiply
215,424x = 469,484 × 469,484 - Step 4: Simplify right side
215,424x = 220,415,226,256 - Step 5: Solve for x
x = 220,415,226,256/215,424 - Step 6: Final answer
x = 1,023,169.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.