Finding the Third Proportional to 214,335 and 465,570
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Solution
The third proportional to 214,335 and 465,570 is: 1,011,292.72
Step by Step Solution
- Step 1: Write the proportion equation
214,335 : 465,570 = 465,570 : x - Step 2: Convert to fraction form
214,335/465,570 = 465,570/x - Step 3: Cross multiply
214,335x = 465,570 × 465,570 - Step 4: Simplify right side
214,335x = 216,755,424,900 - Step 5: Solve for x
x = 216,755,424,900/214,335 - Step 6: Final answer
x = 1,011,292.72
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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.