Finding the Third Proportional to 214,312 and 465,534
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Solution
The third proportional to 214,312 and 465,534 is: 1,011,244.84
Step by Step Solution
- Step 1: Write the proportion equation
214,312 : 465,534 = 465,534 : x - Step 2: Convert to fraction form
214,312/465,534 = 465,534/x - Step 3: Cross multiply
214,312x = 465,534 × 465,534 - Step 4: Simplify right side
214,312x = 216,721,905,156 - Step 5: Solve for x
x = 216,721,905,156/214,312 - Step 6: Final answer
x = 1,011,244.84
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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.