Finding the Third Proportional to 230,023 and 500,546
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Solution
The third proportional to 230,023 and 500,546 is: 1,089,222.81
Step by Step Solution
- Step 1: Write the proportion equation
230,023 : 500,546 = 500,546 : x - Step 2: Convert to fraction form
230,023/500,546 = 500,546/x - Step 3: Cross multiply
230,023x = 500,546 × 500,546 - Step 4: Simplify right side
230,023x = 250,546,298,116 - Step 5: Solve for x
x = 250,546,298,116/230,023 - Step 6: Final answer
x = 1,089,222.81
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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.