Finding the Third Proportional to 460 and 473
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Solution
The third proportional to 460 and 473 is: 486.37
Step by Step Solution
- Step 1: Write the proportion equation
460 : 473 = 473 : x - Step 2: Convert to fraction form
460/473 = 473/x - Step 3: Cross multiply
460x = 473 × 473 - Step 4: Simplify right side
460x = 223,729 - Step 5: Solve for x
x = 223,729/460 - Step 6: Final answer
x = 486.37
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.