Finding the Third Proportional to 490,457 and 759,743
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Solution
The third proportional to 490,457 and 759,743 is: 1,176,880.80
Step by Step Solution
- Step 1: Write the proportion equation
490,457 : 759,743 = 759,743 : x - Step 2: Convert to fraction form
490,457/759,743 = 759,743/x - Step 3: Cross multiply
490,457x = 759,743 × 759,743 - Step 4: Simplify right side
490,457x = 577,209,426,049 - Step 5: Solve for x
x = 577,209,426,049/490,457 - Step 6: Final answer
x = 1,176,880.80
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.