Finding the Third Proportional to 210,720 and 465,756
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Solution
The third proportional to 210,720 and 465,756 is: 1,029,463.99
Step by Step Solution
- Step 1: Write the proportion equation
210,720 : 465,756 = 465,756 : x - Step 2: Convert to fraction form
210,720/465,756 = 465,756/x - Step 3: Cross multiply
210,720x = 465,756 × 465,756 - Step 4: Simplify right side
210,720x = 216,928,651,536 - Step 5: Solve for x
x = 216,928,651,536/210,720 - Step 6: Final answer
x = 1,029,463.99
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.