Finding the Third Proportional to 226,746 and 492,858
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Solution
The third proportional to 226,746 and 492,858 is: 1,071,282.44
Step by Step Solution
- Step 1: Write the proportion equation
226,746 : 492,858 = 492,858 : x - Step 2: Convert to fraction form
226,746/492,858 = 492,858/x - Step 3: Cross multiply
226,746x = 492,858 × 492,858 - Step 4: Simplify right side
226,746x = 242,909,008,164 - Step 5: Solve for x
x = 242,909,008,164/226,746 - Step 6: Final answer
x = 1,071,282.44
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.