Finding the Third Proportional to 221,464 and 484,144
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Solution
The third proportional to 221,464 and 484,144 is: 1,058,390.59
Step by Step Solution
- Step 1: Write the proportion equation
221,464 : 484,144 = 484,144 : x - Step 2: Convert to fraction form
221,464/484,144 = 484,144/x - Step 3: Cross multiply
221,464x = 484,144 × 484,144 - Step 4: Simplify right side
221,464x = 234,395,412,736 - Step 5: Solve for x
x = 234,395,412,736/221,464 - Step 6: Final answer
x = 1,058,390.59
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.