Finding the Third Proportional to 322 and 537
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Solution
The third proportional to 322 and 537 is: 895.56
Step by Step Solution
- Step 1: Write the proportion equation
322 : 537 = 537 : x - Step 2: Convert to fraction form
322/537 = 537/x - Step 3: Cross multiply
322x = 537 × 537 - Step 4: Simplify right side
322x = 288,369 - Step 5: Solve for x
x = 288,369/322 - Step 6: Final answer
x = 895.56
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.