Finding the Third Proportional to 214,806 and 470,927
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Solution
The third proportional to 214,806 and 470,927 is: 1,032,430.38
Step by Step Solution
- Step 1: Write the proportion equation
214,806 : 470,927 = 470,927 : x - Step 2: Convert to fraction form
214,806/470,927 = 470,927/x - Step 3: Cross multiply
214,806x = 470,927 × 470,927 - Step 4: Simplify right side
214,806x = 221,772,239,329 - Step 5: Solve for x
x = 221,772,239,329/214,806 - Step 6: Final answer
x = 1,032,430.38
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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.