Finding the Third Proportional to 212,304 and 465,432
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Solution
The third proportional to 212,304 and 465,432 is: 1,020,362.06
Step by Step Solution
- Step 1: Write the proportion equation
212,304 : 465,432 = 465,432 : x - Step 2: Convert to fraction form
212,304/465,432 = 465,432/x - Step 3: Cross multiply
212,304x = 465,432 × 465,432 - Step 4: Simplify right side
212,304x = 216,626,946,624 - Step 5: Solve for x
x = 216,626,946,624/212,304 - Step 6: Final answer
x = 1,020,362.06
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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.