Finding the Third Proportional to 568 and 1,476
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Solution
The third proportional to 568 and 1,476 is: 3,835.52
Step by Step Solution
- Step 1: Write the proportion equation
568 : 1,476 = 1,476 : x - Step 2: Convert to fraction form
568/1,476 = 1,476/x - Step 3: Cross multiply
568x = 1,476 × 1,476 - Step 4: Simplify right side
568x = 2,178,576 - Step 5: Solve for x
x = 2,178,576/568 - Step 6: Final answer
x = 3,835.52
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.