Finding the Third Proportional to 210,022 and 460,868
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Solution
The third proportional to 210,022 and 460,868 is: 1,011,319.35
Step by Step Solution
- Step 1: Write the proportion equation
210,022 : 460,868 = 460,868 : x - Step 2: Convert to fraction form
210,022/460,868 = 460,868/x - Step 3: Cross multiply
210,022x = 460,868 × 460,868 - Step 4: Simplify right side
210,022x = 212,399,313,424 - Step 5: Solve for x
x = 212,399,313,424/210,022 - Step 6: Final answer
x = 1,011,319.35
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1.5x scale
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.