Finding the Third Proportional to 413 and 471.50
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Solution
The third proportional to 413 and 471.50 is: 538.29
Step by Step Solution
- Step 1: Write the proportion equation
413 : 471.50 = 471.50 : x - Step 2: Convert to fraction form
413/471.50 = 471.50/x - Step 3: Cross multiply
413x = 471.50 × 471.50 - Step 4: Simplify right side
413x = 222,312.25 - Step 5: Solve for x
x = 222,312.25/413 - Step 6: Final answer
x = 538.29
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.