Finding the Third Proportional to 214,324 and 465,556
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Solution
The third proportional to 214,324 and 465,556 is: 1,011,283.80
Step by Step Solution
- Step 1: Write the proportion equation
214,324 : 465,556 = 465,556 : x - Step 2: Convert to fraction form
214,324/465,556 = 465,556/x - Step 3: Cross multiply
214,324x = 465,556 × 465,556 - Step 4: Simplify right side
214,324x = 216,742,389,136 - Step 5: Solve for x
x = 216,742,389,136/214,324 - Step 6: Final answer
x = 1,011,283.80
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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.