Finding the Third Proportional to 405 and 1,074
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Solution
The third proportional to 405 and 1,074 is: 2,848.09
Step by Step Solution
- Step 1: Write the proportion equation
405 : 1,074 = 1,074 : x - Step 2: Convert to fraction form
405/1,074 = 1,074/x - Step 3: Cross multiply
405x = 1,074 × 1,074 - Step 4: Simplify right side
405x = 1,153,476 - Step 5: Solve for x
x = 1,153,476/405 - Step 6: Final answer
x = 2,848.09
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These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.