Finding the Third Proportional to 522 and 730.50
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Solution
The third proportional to 522 and 730.50 is: 1,022.28
Step by Step Solution
- Step 1: Write the proportion equation
522 : 730.50 = 730.50 : x - Step 2: Convert to fraction form
522/730.50 = 730.50/x - Step 3: Cross multiply
522x = 730.50 × 730.50 - Step 4: Simplify right side
522x = 533,630.25 - Step 5: Solve for x
x = 533,630.25/522 - Step 6: Final answer
x = 1,022.28
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.