Finding the Third Proportional to 502 and 733
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Solution
The third proportional to 502 and 733 is: 1,070.30
Step by Step Solution
- Step 1: Write the proportion equation
502 : 733 = 733 : x - Step 2: Convert to fraction form
502/733 = 733/x - Step 3: Cross multiply
502x = 733 × 733 - Step 4: Simplify right side
502x = 537,289 - Step 5: Solve for x
x = 537,289/502 - Step 6: Final answer
x = 1,070.30
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.