Finding the Third Proportional to 214,344 and 470,724
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Solution
The third proportional to 214,344 and 470,724 is: 1,033,763.88
Step by Step Solution
- Step 1: Write the proportion equation
214,344 : 470,724 = 470,724 : x - Step 2: Convert to fraction form
214,344/470,724 = 470,724/x - Step 3: Cross multiply
214,344x = 470,724 × 470,724 - Step 4: Simplify right side
214,344x = 221,581,084,176 - Step 5: Solve for x
x = 221,581,084,176/214,344 - Step 6: Final answer
x = 1,033,763.88
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.