Finding the Third Proportional to 215,784 and 470,934
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Solution
The third proportional to 215,784 and 470,934 is: 1,027,781.64
Step by Step Solution
- Step 1: Write the proportion equation
215,784 : 470,934 = 470,934 : x - Step 2: Convert to fraction form
215,784/470,934 = 470,934/x - Step 3: Cross multiply
215,784x = 470,934 × 470,934 - Step 4: Simplify right side
215,784x = 221,778,832,356 - Step 5: Solve for x
x = 221,778,832,356/215,784 - Step 6: Final answer
x = 1,027,781.64
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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.