Finding the Third Proportional to 214,808 and 470,932
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Solution
The third proportional to 214,808 and 470,932 is: 1,032,442.69
Step by Step Solution
- Step 1: Write the proportion equation
214,808 : 470,932 = 470,932 : x - Step 2: Convert to fraction form
214,808/470,932 = 470,932/x - Step 3: Cross multiply
214,808x = 470,932 × 470,932 - Step 4: Simplify right side
214,808x = 221,776,948,624 - Step 5: Solve for x
x = 221,776,948,624/214,808 - Step 6: Final answer
x = 1,032,442.69
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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.